Properties of the Number 23688

Twenty-Three Thousand Six Hundred Eighty-Eight

Basics

Value: 23687 → 23688 → 23689

Parity: even

Prime: No

Previous Prime: 23687

Next Prime: 23689

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 7 × 47

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110010001000

Octal: 56210

Duodecimal: 11860

Hexadecimal: 5c88

Square: 561121344

Square Root: 153.9090640605679

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 distinct integer partitions whose parts can be combined together using additions and multiplications to obtain n, with the exception that 1's can only be added and not multiplied with other parts. A319913

Numbers k such that σ(x) = k has exactly 10 solutions. A60666

Composite numbers k such that k - φ(k) divides σ(k) - k. A68418

Number of (6-n)-faces of the 1_32 polytope. A321637

Primorial deflation of the n-th colossally abundant number: the unique integer k such that A108951(k) = A004490(n). A342012

Number of transitive relations on an n-set with exactly three ordered pairs. A349927

Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + x²*log(1-x)) ). A370994

a(n) = φ(n³ - 1)/3 where φ is A000010. A319213

a(n) = Fibonacci(n)*A000118(n) for n>=1 with a(0)=1, where A000118(n) is the number of ways of writing n as a sum of 4 squares. A205963

Least number k such that the determinant of the symmetric Toeplitz matrix formed by its decimal digits is equal to n. A307887