Properties of the Number 63161

Sixty-Three Thousand One Hundred Sixty-One

Basics

Value: 63160 → 63161 → 63162

Parity: odd

Prime: No

Previous Prime: 63149

Next Prime: 63179

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 7 ² × 1289

Divisors: 1, 7, 49, 1289, 9023, 63161

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111011010111001

Octal: 173271

Duodecimal: 30675

Hexadecimal: f6b9

Square: 3989311921

Square Root: 251.31852299422738

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 n X 2 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A280598

Number of fib000 primes (A095085) in range ]2ⁿ,2ⁿ⁺¹]. A95065

a(n) = 58·n² - 1. A158668

A version of F. K. Hwang's sequence in {3·k, 3·k+1, 3·k+2}. A123945

G.f. (4·x+3)/(2*(x+1))*(1+1/sqrt(-4·x⁴-4·x³+1)). A247169

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A280604

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A301323

Dimension of the space of weight 2n cusp forms for Gamma₀( 93 ). A63161