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Properties of the Number 10508

Ten Thousand Five Hundred Eight

Basics

Value: 10507 → 10508 → 10509

Parity: even

Prime: No

Previous Prime: 10501

Next Prime: 10513

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 2 × 37 × 71

Divisors: 1, 2, 4, 37, 71, 74, 142, 148, 284, 2627

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100100001100

Octal: 24414

Duodecimal: 60B8

Hexadecimal: 290c

Square: 110418064

Square Root: 102.50853622991599

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Irregular triangle read by rows: T(n,k) is the number of k-partitions of {1..2n} that are invariant under a permutation consisting of n 2-cycles (1 <= k <= 2n). A293181
a(n) = ∑d∣n σ(d)2. A65018
Number of partitions p of n such that (sum of parts with multiplicity 1) > (sum of all other parts). A240451
Number of partitions p of n such that (sum of parts with multiplicity 1) >= (sum of all other parts). A240452
Numbers whose binary representation traces a non-selfcrossing circuit in the honeycomb lattice when each one of its bits, from the most significant to the least significant, is interpreted as a direction to proceed at each vertex. A255561
Numbers that are the least element of a k-cycle (k > 1) of permutation A113821. A115641
Numbers k such that k divides the sum of digits in primorial base of all numbers from 1 to k. A333703
a(n) is the number of (s(0),s(1),...,s(n)) such that every s(i) is a nonnegative integer, s(0) = 1, s(n) = 1, |s(1) - s(0)| = 1, |s(i) - s(i-1)| <= 1 for i >= 2. Also a(n) = T(n,n), where T is the array in A026120. A26122
Even numbers n such that 372 (the square of the first irregular prime) divides the numerator of Bernoulli(n). A90789
Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of gcd(i,j) (A003989). A204025