Properties of the Number 23730

Twenty-Three Thousand Seven Hundred Thirty

Basics

Value: 23729 → 23730 → 23731

Parity: even

Prime: No

Previous Prime: 23719

Next Prime: 23741

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 7 × 113

Divisors: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110010110010

Octal: 56262

Duodecimal: 11896

Hexadecimal: 5cb2

Square: 563112900

Square Root: 154.04544783926593

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 ways to break {1,2,3,...,n} into sets with equal sums. A35470

Number of ways to write n as an ordered sum of 10 primes. A340966

G.f.: ∑_n=-oo..+oo n·xⁿ * (1 - xⁿ)ⁿ. A291937

E.g.f. A = A(x,y) satisfies: A² + B² + C² = 1 + y² and A³ + B³ + C³ = 1 + y³, where functions B = B(x,y) and C = C(x,y) are described by A278886 and A278887, respectively. A278885

Numbers n for which 2 < A257993(A276086(A276086(n))) < A257993(n), where A276086 converts the primorial base expansion of n into its prime product form, and A257993 returns the index of the least prime not present in its argument. A328762

a(n) = A328842(A276086(n)). A328844

Expansion of e.g.f. 1/(1 + x/4·log(1 - 2·x)). A354327

a(n) = 484·n² + 2·n. A158325

a(n) = 196·n² + 14. A158555

a(n) = 121·n² + n. A173267