Properties of the Number 65711

Sixty-Five Thousand Seven Hundred Eleven

Basics

Value: 65710 → 65711 → 65712

Parity: odd

Prime: No

Previous Prime: 65707

Next Prime: 65713

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 23 × 2857

Divisors: 1, 23, 2857, 65711

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000010101111

Octal: 200257

Duodecimal: 3203B

Hexadecimal: 100af

Square: 4317935521

Square Root: 256.3415690051069

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

a(n) = 48·n² - 1. A65532

Smallest number m so that n² + A000330(m) is also a square, i.e., n² + (1 + 4 + 9 + 16 + ... + m²) = w² for some w. A65610

Indices of primes in sequence defined by A(0) = 69, A(n) = 10·A(n-1) - 31 for n > 0. A101534

Number of n X 5 nonnegative integer arrays with upper left 0 and every value within 2 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down. A252817

Number of nX7 nonnegative integer arrays with upper left 0 and every value within 2 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down. A252819

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, 1, -1), (1, -1, 1), (1, 1, 0)}. A149385

T(n,k)=Number of nXk nonnegative integer arrays with upper left 0 and every value within 2 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down. A252820

The Alon-Tarsi constants AT(n). A65711