Properties of the Number 23564

Twenty-Three Thousand Five Hundred Sixty-Four

Basics

Value: 23563 → 23564 → 23565

Parity: even

Prime: No

Previous Prime: 23563

Next Prime: 23567

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 43 × 137

Divisors: 1, 2, 4, 43, 86, 137, 172, 274, 548, 5891

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 101110000001100

Octal: 56014

Duodecimal: 11778

Hexadecimal: 5c0c

Square: 555262096

Square Root: 153.50570021989412

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

Number of polyhexes with n cells that tile the plane isohedrally but not by translation or by 180-degree rotation (Conway criterion). A75213

T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A280069

a(n) = ∑_{k=0..floor(n/2)} binomial(n,k)*2^n-2·k. A100067

Expansion of ∏_k>=1 ((1 + x^2·k) / (1 - x^k))^k. A285462

Trace of the n-th power of a certain 8X8 adjacency matrix. A141384

Number of n-node rooted identity trees with thinning limbs and root outdegree (branching factor) 10. A245129

Number of nX6 0..1 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A280067

Number of partitions of n⁴ into fourth powers > 1. A298989

a(n) = time to the nearest second at the n-th instant (n>=0) when the hour and minute hands on a clock face coincide, starting at time 0:00. A335789

Numbers k such that 297·2^k + 1 is prime. A53365