Properties of the Number 51315

Fifty-One Thousand Three Hundred Fifteen

Basics

Value: 51314 → 51315 → 51316

Parity: odd

Prime: No

Previous Prime: 51307

Next Prime: 51329

Digit Sum: 15

Digital Root: 6

Palindrome: Yes

Factorization: 3 × 5 × 11 × 311

Divisors: 1, 3, 5, 11, 15, 33, 55, 165, 311, 933

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100001110011

Octal: 144163

Duodecimal: 25843

Hexadecimal: c873

Square: 2633229225

Square Root: 226.5281439468394

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

Numbers that are palindromic and divisible by 5. A43040

Palindromic Smith numbers. A98834

Palindromes with exactly 4 distinct prime factors. A46394

Trajectory of 1496 under repeated application of the map defined in A053392. A328974

Palindromic numbers that are also Niven numbers and Smith numbers. A334528

Expansion of g.f.: 1/(∑_{p odd prime} x^p)² (even powers only). A351317

a(n) = ∑_k=1..n k*[ (n/k)*[ (n/k)*[ n/k ] ] ]. A24933

Palindromic numbers that contain the sum of their digits as a substring. A121939

G.f. A(x) satisfies: [xⁿ] A(x)ⁿ⁺¹ = [xⁿ] (1 + x·A(x)ⁿ⁺²)ⁿ⁺¹ for n >= 0. A360234

Euclid-Mullin sequence (A000945) with initial value a(1)=31 instead of a(1)=2. A51315