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.
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 ...
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...
import math
number = 2458333
sum_of_factorials = sum(math.factorial(int(digit)) for digit in str(number))
print(sum_of_factorials, number == sum_of_factorials)
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.
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.
Indeed. Several valid answers. Cfr #693100
Thanks
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...
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 ...
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...
(I have a stupid python code running too~~ who knows)
Oh fuc*! 30 minutes into processing and still nothing... I'm on loop number 1,458,729,293. Canceled 🤠
2,458,333 2!+4!+5!+8!+3!+3!=2+24+120+40,320+6+6=2,458,333
Nice try ;)
what do you mean? Nevermind, you are right. Strongest number you can achieve is 40585.
I don't think your sum is correct...
import math number = 2458333 sum_of_factorials = sum(math.factorial(int(digit)) for digit in str(number)) print(sum_of_factorials, number == sum_of_factorials)It's the only number who's prime factorization is 5*29.
Looking forward to the real answer.
Technically correct too. As well as @Satosora's answer above. This reminds me of another math meme... let me try to find it and post it if I do.
#693100
I saw it. I agreed with your answer, but didn't have anything clever to add.
There's only one like it <3
Angel number? Angel-Confirmation Number 145 is a message that you are to not worry or concern yourself with whatever others are doing.