Properties of the Number 15269

Fifteen Thousand Two Hundred Sixty-Nine

Basics

Value: 15268 → 15269 → 15270

Parity: odd

Prime: Yes

Previous Prime: 15263

Next Prime: 15271

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 15269

Divisors: 1, 15269

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101110100101

Octal: 35645

Duodecimal: 8A05

Hexadecimal: 3ba5

Square: 233142361

Square Root: 123.5677951571525

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

Primes p whose period of reciprocal equals (p-1)/11. A56216

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252321

Denominators of upper primes-only best approximates (POBAs) to π; see Comments. A265811

Schoenheim bound L₁(n,9,8). A36836

Numbers k such that σ(φ(σ(k))) = φ(σ(φ(k))). A67160

Expansion of 1/(1 - x*(1 - 11·x)). A146083

Compound filter: a(n) = P(σ(n), σ(2n)), where P(n,k) is sequence A000027 used as a pairing function, and σ is the sum of divisors (A000203). A286359

a(n) = 1/11*(binomial(n,11) - floor(n/11)). A215054

Number of sets of noncrossing paths whose nodes are a subset of n nodes arranged in a circle with one node paths allowed. A390907

Lessers of twin prime pairs whose greater has a prime prime index. A94068