Properties of the Number 85756

Eighty-Five Thousand Seven Hundred Fifty-Six

Basics

Value: 85755 → 85756 → 85757

Parity: even

Prime: No

Previous Prime: 85751

Next Prime: 85781

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 11 × 1949

Divisors: 1, 2, 4, 11, 22, 44, 1949, 3898, 7796, 21439

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111011111100

Octal: 247374

Duodecimal: 41764

Hexadecimal: 14efc

Square: 7354091536

Square Root: 292.84125392437454

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 non-isomorphic 4 X 4 nonnegative integer symmetric matrices with all row and column sums equal to n up to permutations of rows and columns. A333886

Number of (n+2)X7 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..1 introduced in row major order. A204489

Number of (n+2)X8 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..1 introduced in row major order. A204490

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..1 introduced in row major order. A204492

Number of partitions into a prime number of distinct parts. A85756