Properties of the Number 11678

Eleven Thousand Six Hundred Seventy-Eight

Basics

Value: 11677 → 11678 → 11679

Parity: even

Prime: No

Previous Prime: 11677

Next Prime: 11681

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 5839

Divisors: 1, 2, 5839, 11678

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110110011110

Octal: 26636

Duodecimal: 6912

Hexadecimal: 2d9e

Square: 136375684

Square Root: 108.06479537758817

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 unsortable normal multiset partitions of weight n. A326211

Sum of the second largest parts in the partitions of n into 7 squarefree parts. A308959

Expansion of (1-x) * (1+x) / ((1-2·x)*(1-x-x²)). A104004

a(n) = A100092(n²+1). A100093

a(n) = ∑_k=1..n ceiling(kⁿ/n^k). A110536

G.f.: ∏_n>=1 [1 + (n+1)*xⁿ + (n+2)*xⁿ⁺¹ + (n+3)*xⁿ⁺² + (n+4)*xⁿ⁺³ +...]. A251685

a(n) is the number of permutations of length n that avoid the pattern 321 and the mesh pattern (12, 299) or the same sequence for the mesh patterns (12, 395), (12, 419), (12, 425). A289596

A binary m-sequence: expansion of reciprocal of x⁷+x⁵+x³+x+1. A11678

Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303521