Properties of the Number 82711

Eighty-Two Thousand Seven Hundred Eleven

Basics

Value: 82710 → 82711 → 82712

Parity: odd

Prime: No

Previous Prime: 82699

Next Prime: 82721

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 107 × 773

Divisors: 1, 107, 773, 82711

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001100010111

Octal: 241427

Duodecimal: 3BA47

Hexadecimal: 14317

Square: 6841109521

Square Root: 287.59520162895626

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

Expansion of e.g.f. exp(x/(1-x)³). A91695

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. exp(x/(1 - x)^k). A293012

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each row and column prime, read as a binary number with top and left being the most significant bits. A261761

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 45 ones. A31813

Number of 1..17 integer arrays v[1..n] of length n with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..n-1. A171291

Number of 1..n integer arrays v[1..4] of length 4 with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..3. A171341

Number of (n+1)X(5+1) 0..1 arrays with each row and column prime, read as a binary number with top and left being the most significant bits. A261758

Number of (n+1) X (6+1) 0..1 arrays with each row and column prime, read as a binary number with top and left being the most significant bits. A261759

Numbers k such that (65·10^k-1 + 43)/9 is a depression prime. A82711