This is a really strange topic, and I don't know if anybody has even thought about this before, but it's something that I just thought about recently. I haven't looked at this enough to actually find an example, but I'll explain what I mean.
In short, I've added the numbers of the other highways that a specific highway either intersects or shares a concurrency with and added them up. While I was doing this, I was wondering if there's any examples if all of the numbers of the highways that the route intersects would add up to the same number as the route itself.
I only included the same route number one time per highway and type of highway (for example, if a route intersects both SR 60 and US 60, I added them as two separate routes, but if it intersects SR 60 twice, I only added 60 once since it's the same route more than once).
For state routes, I only added up the intersections located in that state by itself, even if the route continued into another state (for example, AR 7 ends at LA 558 but I didn't include it when adding all of intersection numbers together despite it being the same physical road under a different number in a different state).
I also didn't include county roads (mainly because there's a lot of counties that just number their roads with an actual county road sign rather than giving them a proper name), as well as including termini for the route (depending on whether or not it ends at another numbered highway). I probably didn't explain this super well, so I'll provide an example.
Arkansas Highway 350 is located just west of Wynne. The highway itself begins at US Route 64, it shares a concurrency with AR 284, and ends at AR 1. US 64 + AR 284 + AR 1 = 349, which is just one off of the actual route number. There isn't a single route in Arkansas where the intersections add up to the same number as the route. I've also confirmed this with all of the Interstate Highways (including 3DIs), as well as all of the routes in Missouri and Oklahoma. I still have many other states and highways to look through, but I wonder if anybody else on this forum might be able to find an example of this too.
Surely it exists somewhere, I just haven't found it yet.
In Muncie, the IN 3/US 35/IN 67 concurrency intersects IN 32. You have 3+32=35 and also 32+35=67, but you have to leave out one of the four intersecting routes in each of those equations.
Not quite the same thing, but one intersection that fascinates me is the intersection of US 25, US 421, and KY 52 in Richmond. Each route's individual digits add up to 7 (2+5, 4+2+1, and 5+2).
I don't know if the old Road Sign Math site is still up, but it was a neat feature back in the day. People found examples of simple math (WV 15 + WV 4 = US 19; all routes signed on one assembly) and very complex problems. I contributed a few signs from my photo collection to the site when it was active.
In Monroe, WI-69 and WI-81 join WI-11 at the same interchange, so that technically would not count even if they did add up exactly (11+69=80).
WI-80 and WI-81 interchange concurrently with US-151, but that's 10 off.
I'll give a nomination for largest difference: I-894, I-41, and I-43's interchange with WI-24 is 954 off.
If I'm reading the OP correctly, they're looking for ALL intersections in the state to add up to the route number. Not just one individual intersection. Please correct me if I'm wrong.
Chris
MO 364 used to only intersect with 2 numbered routes when Phase 1 opened in 2003: I-270 and MO 94. Those two add up to 364. Of course it's not the case anymore with 364 extended west to I-64/US 40/61 in 2014, and MO 141 extended north in 2012, but still something cool to think of.
Quote from: jayhawkco on October 29, 2021, 10:17:36 AM
If I'm reading the OP correctly, they're looking for ALL intersections in the state to add up to the route number. Not just one individual intersection. Please correct me if I'm wrong.
Chris
It's almost as if some people have better things to do than search Google Maps for 30 minutes!
Quote from: thspfc on October 29, 2021, 10:41:40 AM
Quote from: jayhawkco on October 29, 2021, 10:17:36 AM
If I'm reading the OP correctly, they're looking for ALL intersections in the state to add up to the route number. Not just one individual intersection. Please correct me if I'm wrong.
Chris
It's almost as if some people have better things to do than search Google Maps for 30 minutes!
I mean, I get it. But if you're interested in posting, do. If not, don't. I'd find it easier to use a Wikipedia page since you can see all of the intersections (for interstates and limited access highways at least).
Chris
Not quite the same thing, but Alberta has highway junctions for Hwy 12 & 21 and 14 & 41; 20 years ago they also had 34 & 43.
This is the equivalent of a "perfect number" like 28: the sum of its divisors are 1 + 2 + 4 + 7 + 14 == 28
Quote from: jayhawkco on October 29, 2021, 10:17:36 AM
If I'm reading the OP correctly, they're looking for ALL intersections in the state to add up to the route number. Not just one individual intersection. Please correct me if I'm wrong.
Chris
Yeah that was pretty much my intention, but I didn't think about single junctions either. There's probably quite a few single junctions of more than one signed highway that add up to the same route number too.
Quote from: kurumi on October 29, 2021, 12:32:15 PM
This is the equivalent of a "perfect number" like 28: the sum of its divisors are 1 + 2 + 4 + 7 + 14 == 28
For real though, I honestly have no idea if this even exists... although there's like 15,000 numbered highways in the United States... surely at least one of them has this strange property.
M-185 only intersects M-185.
Quote from: TBKS1 on October 29, 2021, 01:27:03 PM
For real though, I honestly have no idea if this even exists... although there's like 15,000 numbered highways in the United States... surely at least one of them has this strange property.
I only know of a former example that was true for 9 years from 2003-2012, which I posted upthread. Otherwise, I can't think of any else.
Quote from: dmuzika on October 29, 2021, 10:54:55 AM
Not quite the same thing, but Alberta has highway junctions for Hwy 12 & 21 and 14 & 41; 20 years ago they also had 34 & 43.
There's a thread for that: https://www.aaroads.com/forum/index.php?topic=27618.0
Not an exciting answer, but Maine 162 only intersects US1 and Maine 161.
https://www.google.com/maps/@47.2061435,-68.5022964,11z
Quote from: NE2 on October 29, 2021, 02:42:00 PM
M-185 only intersects M-185.
Technically true
Quote from: paulthemapguy on November 02, 2021, 10:58:45 PM
Not an exciting answer, but Maine 162 only intersects US1 and Maine 161.
https://www.google.com/maps/@47.2061435,-68.5022964,11z
Hey, that counts though. At least we found one!
So I understand the question now.
IN 117 intersects only IN 110 and IN 10. Off by 3. Closest you get in Indiana.
In Wisconsin, WI-794 only intersects with I-794.
WI-794 passes over WI-32 (KK Avenue), but there is no interchange between them. Right?
Quote from: SEWIGuy on November 03, 2021, 08:53:04 AM
In Wisconsin, WI-794 only intersects with I-794.
WI-794 passes over WI-32 (KK Avenue), but there is no interchange between them. Right?
Yeah there's no interchange for WI 32 from WI 794 so that technically counts.
So other than my WI-794 example above, I think the closest I get in Wisconsin is WI-140, whose added intersections are five off at 135. (assuming you don't count the IL highway but end at the state line.)
WI-11 / US-14
I-43
WI-67
11+14+43+67 = 135