Properties of the Number 12405

Twelve Thousand Four Hundred Five

Basics

Value: 12404 → 12405 → 12406

Parity: odd

Prime: No

Previous Prime: 12401

Next Prime: 12409

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 827

Divisors: 1, 3, 5, 15, 827, 2481, 4135, 12405

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000001110101

Octal: 30165

Duodecimal: 7219

Hexadecimal: 3075

Square: 153884025

Square Root: 111.37773565663831

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 partitions of n such that the successive differences of consecutive parts are nondecreasing. A240026

Coefficient of xⁿ in ∏_k>=1 1/(1-x^k)ⁿ. A8485

T(n,k)=Number of nXk binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally. A188607

Expansion of (1+2·x+3·x²)/((1-x)³*(1-x²)). A55232

a(n) = r·a(ceiling(n/2))+s·a(floor(n/2)) with a(1)=1 and (r,s)=(4,1). A268527

Number of partitions of n into parts of 7 kinds. A23006

A card-arranging problem: number of permutations p₁, ..., p_n of 1, ..., n such that i + p_i is a square for every i. A95986

a(0) = 0 and a(n) = (4·n³ - 12·n² + 20·n - 9)/3 for n >= 1. A174794

Maximum detour index of any bipartite graph on n nodes. A296819

Ulam's spiral (ENE spoke). A143856