Properties of the Number 23381

Twenty-Three Thousand Three Hundred Eighty-One

Basics

Value: 23380 → 23381 → 23382

Parity: odd

Prime: No

Previous Prime: 23371

Next Prime: 23399

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 103 × 227

Divisors: 1, 103, 227, 23381

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101101010101

Octal: 55525

Duodecimal: 11645

Hexadecimal: 5b55

Square: 546671161

Square Root: 152.9084693534011

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

a(n) = (1/3ⁿ) * ∑_k=0..n³ ( (binomial(n³, k) * 2^k) (mod 3ⁿ) ). A376536

Positions of zeros in A163897. A165480

Sum T(n,k) of the entries in the k-th last cycles of all permutations of [n]; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A286231

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=2, r=3, I={-1,1,2}. A80000

a(n) = (n³ + 3·n - 2)/2. A132127

Cubes written in base 9. A4639

Denominators of continued fraction convergents to sqrt(952). A42843

Brilliant numbers k such that 2k+1 is also brilliant. A85649

G.f. is the polynomial (1-x³) * (1-x⁶) * (1-x⁹) * (1-x¹²) * (1-x¹⁵) * (1-x¹⁸) * (1-x²¹) / (1-x)⁷. A162595

3ⁿ times the expected value of the shortest run of 0's in a length n word on alphabet {0,1,2}. A209243