Properties of the Number 12678

Twelve Thousand Six Hundred Seventy-Eight

Basics

Value: 12677 → 12678 → 12679

Parity: even

Prime: No

Previous Prime: 12671

Next Prime: 12689

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 2113

Divisors: 1, 2, 3, 6, 2113, 4226, 6339, 12678

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11000110000110

Octal: 30606

Duodecimal: 7406

Hexadecimal: 3186

Square: 160731684

Square Root: 112.59662517144997

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

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out straight through or left turns. A221817

Expansion of ∏_k>=1 ((1 - 2^k*x^k)/(1 + 2^k*x^k))^{1/2^k}. A303439

Numbers k such that k¹⁰ == 1 (mod 11⁴). A56094

Numbers such that all subsets of {a(1)²,...,a(n)²} have a different sum. A138857

Central terms of Zorach additive triangle (cf. A035312). A189713

Number of irreducible integer partitions of n. A305731

Least k such that k·11ⁿ +/- 1 are twin primes. A64220

Number of n X 1 0..2 arrays with every repeated value in every row and column greater than the previous repeated value. A267960

E.g.f. A(x) satisfies: ∑_n>=0 1/n! * exp(n²*x)/A(x)ⁿ = exp(1). A316567

Numbers that are both binary Niven numbers and binary Smith numbers. A334531