Properties of the Number 23264

Twenty-Three Thousand Two Hundred Sixty-Four

Basics

Value: 23263 → 23264 → 23265

Parity: even

Prime: No

Previous Prime: 23251

Next Prime: 23269

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 727

Divisors: 1, 2, 4, 8, 16, 32, 727, 1454, 2908, 5816

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101011100000

Octal: 55340

Duodecimal: 11568

Hexadecimal: 5ae0

Square: 541213696

Square Root: 152.52540771950095

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

Sum of the eighth largest parts in the partitions of n into 9 parts. A326466

Weighted count of partitions with distinct parts. A5895

Number of compositions (ordered partitions) of n into distinct parts, the least being 4. A339165

G.f.: ∏_m>=1 1/(1+x^m)^A000009(m). A89254

Number of permutations of {1,2,...n} for which differences of adjacent numbers are all distinct. A131529

Triangle read by rows: T(n,k) = number of configurations of k non-attacking bishops on the white squares of an n X n chessboard (for n even, 0 <= k < n). A88960

A(x) satisfies A000290(x)/x² = A(x)/A(x²); A000290 = integer squares. A173277

Triangle read by rows: T(n,k) is the coefficient in the transformation ∑_k=0..n (k+1)*x^k = ∑_k=0..n T(n,k)*(x-k)^k. A247237

Total number of modes in all partitions of n. A372542

9-automorphic numbers ending in 4: final digits of 9·n² agree with n. A30994