Properties of the Number 15261

Fifteen Thousand Two Hundred Sixty-One

Basics

Value: 15260 → 15261 → 15262

Parity: odd

Prime: No

Previous Prime: 15259

Next Prime: 15263

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5087

Divisors: 1, 3, 5087, 15261

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101110011101

Octal: 35635

Duodecimal: 89B9

Hexadecimal: 3b9d

Square: 232898121

Square Root: 123.5354200219516

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) = 9^n-7 * (n+1)^n-9 * (262144·n⁷ + 2494464·n⁶ + 10470208·n⁵ + 25229505·n⁴ + 37857568·n³ + 35537670·n² + 19414368·n + 4782969). A251589

Number of ways to write n as an ordered sum of 8 nonzero triangular numbers. A340953

Number of multi-trace BPS operators for the quiver gauge theory of the orbifold C²/Z₂. A120844

Coefficients of numerator polynomials S(n,x) associated with reciprocation. A147985

Coefficients of factor polynomials U(n,x) associated with reciprocation. A147989

Array A147985 (Polynomial coefficients) with zeros deleted. A147990

a(1) = 7, a(n) = least k such that concatenation of n copies of k with all previous concatenation gives a prime. A111475

Coefficients of numerator polynomials P(n,x) associated with reciprocation. A147987

G.f. satisfies: A(x) = 1 + x·A(1 - 1/A(x))². A212411

a(n) is the lower end of a record gap A349995(n) between consecutive odd squarefree semiprimes (A046388). A350098