Properties of the Number 42614

Forty-Two Thousand Six Hundred Fourteen

Basics

Value: 42613 → 42614 → 42615

Parity: even

Prime: No

Previous Prime: 42611

Next Prime: 42641

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 11 × 13 × 149

Divisors: 1, 2, 11, 13, 22, 26, 143, 149, 286, 298

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010011001110110

Octal: 123166

Duodecimal: 207B2

Hexadecimal: a676

Square: 1815952996

Square Root: 206.43158673032573

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 into parts of 12 kinds. A5758

a(n) = (n - 1)*(4·n² - 8·n + 5). A317297

Coefficient of xⁿ in ∏_k>=1 1/(1-x^k)^2·n. A304444

Numbers n such that 5·6ⁿ + 1 is prime. A247260

Number of different Othello positions at the end of the n-th ply. A124005

a(n) = 2662·n + 22. A157613

Coefficients of modular function denoted g₅(τ) by Atkin. A186209

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 147", based on the 5-celled von Neumann neighborhood. A270292

G.f. satisfies A(x) = -(A(x³) + A(x⁴)) / A(-x²). A385915

Number of partitions of n into parts not of the form 25k, 25k+11 or 25k-11. Also number of partitions with at most 10 parts of size 1 and differences between parts at distance 11 are greater than 1. A36010