Properties of the Number 12439

Twelve Thousand Four Hundred Thirty-Nine

Basics

Value: 12438 → 12439 → 12440

Parity: odd

Prime: No

Previous Prime: 12437

Next Prime: 12451

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 1777

Divisors: 1, 7, 1777, 12439

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000010010111

Octal: 30227

Duodecimal: 7247

Hexadecimal: 3097

Square: 154728721

Square Root: 111.53026495081951

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 integer partitions of n such that (maximum) <= 2*(median). A361848

Sums of six consecutive squares: a(n) = n² + (n+1)² + (n+2)² + (n+3)² + (n+4)² + (n+5)². A27865

Expansion of ∏_k>=1 1/(1 - x^k)^k*(k+1*(2·k+1)/6). A279215

a(n) = a(n-1) + a(n-2) + a(n-3), with a(0) = 1, a(1) = a(2) = 7. A214829

Let M denote the 6 X 6 matrix = row by row /1,1,1,1,1,1/1,1,1,1,1,0/1,1,1,1,0,0/1,1,1,0,0,0/1,1,0,0,0,0/1,0,0,0,0,0/ and A(n) the vector (x(n),y(n),z(n),t(n),u(n),v(n)) = Mⁿ*A where A is the vector (1,1,1,1,1,1); then a(n) = u(n). A70778

Expansion of ∑_n>=1 ((n-1) * q^n*(n+1/2) / ∏_k=1..n (1 - q^k)). A218074

Expansion of ∏_k>=1 (1 + x^k³) * (1 + x^k). A369571

Minimum positive numerator of s₁/1 + ... + s_n/n in lowest terms, where each s_i equals 1 or -1. A61195

Composite numbers whose prime factors contain no digits other than 1 and 7. A36307

Smallest number that can be written in exactly n ways as a sum of distinct repdigits of its decimal digits. A131367