reply on: 145 - what is special about this number? \ stacker news ~charts_and

162 sats \ 8 replies \ @0xbitcoiner 20 Sep \ on: 145 - what is special about this number? charts_and_numbers

Strong Number: 1! + 4! + 5! = 1 + 24 + 120 = 145

https://www.hackerearth.com/problem/algorithm/strong-number-2-e71bae03-13ed4908/#:~:text=Problem%20Statement%3A,is%20equal%20to%20number%20itself.&So%2C%20145%20is%20a%20Strong%20number.

83 sats \ 2 replies \ @wild_side 20 Sep

Composite Number: 145 is not a prime number; it can be factored into 5×295×29. Divisors: The divisors of 145 are 1, 5, 29, and 145 itself. Deficient Number: The sum of its proper divisors (1 + 5 + 29 = 35) is less than the number itself, categorizing it as a deficient number. Pentagonal Number: It is recognized as a pentagonal number for n=10n=10.

0 sats \ 1 reply \ @south_korea_ln OP 20 Sep

Indeed. Several valid answers. Cfr #693100

0 sats \ 0 replies \ @wild_side 21 Sep

Thanks

23 sats \ 4 replies \ @south_korea_ln OP 20 Sep

We got a winner here... sometimes also referred to as a Peterson Number.

10,000 sats for anyone finding a strong number larger than 531,441...

21 sats \ 3 replies \ @0xbitcoiner 20 Sep

I wrote a C# program to do some calculations and it's been crunching numbers for a while now. It's up to 174,410,368, but still no luck. I'll let it keep going. 🤠 it's exponential ...

35 sats \ 2 replies \ @south_korea_ln OP 20 Sep

To be fair, if you find a bigger number, don't share it here. You might be able to publish it in a journal... afaik, 531,441 is the largest known strong number.

Some smart tricks are probably required to check large numbers beyond what has been checked up to now...

23 sats \ 1 reply \ @south_korea_ln OP 20 Sep

(I have a stupid python code running too~~ who knows)

11 sats \ 0 replies \ @0xbitcoiner 20 Sep

Oh fuc*! 30 minutes into processing and still nothing... I'm on loop number 1,458,729,293. Canceled 🤠