Properties of the Number 23507

Twenty-Three Thousand Five Hundred Seven

Basics

Value: 23506 → 23507 → 23508

Parity: odd

Prime: No

Previous Prime: 23497

Next Prime: 23509

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 11 × 2137

Divisors: 1, 11, 2137, 23507

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101101111010011

Octal: 55723

Duodecimal: 1172B

Hexadecimal: 5bd3

Square: 552579049

Square Root: 153.31992695015217

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

T(n,k) is the number permutations p of [n] that are k-dist-increasing but not j-dist-increasing for any j<k, where p is j-dist-increasing if j>=0 and p(i)<p(i+j) for all i in [n-j]; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A370507

T(n,k) = number of n X k 0..2 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1) X (k+1) 0..2 array without adjacent equal elements in the latter. A229521

Gaps of 10 in sequence A038593 (upper terms). A38660

Floor of reciprocal of ζ'(n), where ζ'(n) is the derivative of Riemann ζ function. A153517

a(n) is largest semiprime < 2·a(n-1), with a(1) = 4. A217836

Number of n X 2 0..2 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1) X 3 0..2 array without adjacent equal elements in the latter. A229515

Number of n X 7 0..2 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1) X 8 0..2 array without adjacent equal elements in the latter. A229520

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 237", based on the 5-celled von Neumann neighborhood. A270982

a(n) = sum of distinct prime divisors of prime(n) - 1. A23507