Thursday, April 4, 2019

Number of the day: 24501

Properties of the number 24501:

24501 = 3 × 8167 is semiprime and squarefree.
24501 has 2 distinct prime factors, 4 divisors, 5 antidivisors and 16332 totatives.
24501 has an oblong digit sum 12 in base 10.
24501 = 122512 - 122502 = 40852 - 40822 is the difference of 2 nonnegative squares in 2 ways.
24501 is the sum of 2 positive triangular numbers.
24501 is the difference of 2 positive pentagonal numbers in 1 way.
24501 = 442 + 492 + 1422 is the sum of 3 positive squares.
245012 is the sum of 3 positive squares.
24501 is a proper divisor of 71361 - 1.
24501 is an emirpimes in (at least) the following bases: 3, 6, 9, 18, 24, 25, 26, 27, 37, 39, 46, 48, 49, 66, 69, 71, 73, 75, 85, 86, 91, 96, and 97.
24501 is palindromic in (at least) the following bases: 34, 52, and -69.
24501 in base 34 = l6l and consists of only the digits '6' and 'l'.
24501 in base 49 = AA1 and consists of only the digits '1' and 'A'.
24501 in base 51 = 9LL and consists of only the digits '9' and 'L'.
24501 in base 52 = 939 and consists of only the digits '3' and '9'.

The number 24501 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A022802: a(n) = L(n+1) + c(n) where L(K) = k-th Lucas number and c(n) is n-th number that is 1 or not a Lucas number.
A023489: Sum of n-th Lucas number greater than 3 and n-th number that is 1 or is not a Fibonacci number.
A023495: a(n) = b(n) + d(n), where b(n) = (n-th Lucas number > 3) and d(n) = (n-th nonLucas number).
A026911: T(2n,n-2), T given by A026907.
A035548: Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 3 (mod 4)
A115708: Semiprimes (A001358) whose digit reversal is a pentagonal number (A000326).
A126343: Triangle, read by rows, of the limit of coefficients of q in {[x^m] W(x,q)} as m grows when arranged into a triangle where row n is multiplied by n! for n>=1.
A158493: a(n) = 20*n^2 + 1.
A212707: Semiprimes of the form 5*n^2 + 1.
A221995: Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..4 array extended with zeros and convolved with 1,4,6,4,1

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