Properties of the Number 75936

Seventy-Five Thousand Nine Hundred Thirty-Six

Basics

Value: 75935 → 75936 → 75937

Parity: even

Prime: No

Previous Prime: 75931

Next Prime: 75937

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 7 × 113

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010100010100000

Octal: 224240

Duodecimal: 37B40

Hexadecimal: 128a0

Square: 5766276096

Square Root: 275.56487439439735

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) = ∑_k=0..n 2^n-k * binomial(n+3,k+3) * binomial(2·k+6,k+6). A387273

a(n) = (n⁵ - n)/10, which is always an integer. A164938

a(n) is the sum of mutual Manhattan distances of the A117609(n) distinct grid points (x_i,y_i,z_i) in a cubic lattice such that x_i² + y_i² + z_i² <= n. A393008

D'Agapeyeff cipher. A135209

Replace 3ⁱ with nⁱ in ternary representation of n. A193760

Expansion of 1/((1-2x)(1-3x)(1-5x)(1-6x)). A25930

Positions of check bits in code in A075934. A75936

Number of edge colorings of the Petersen graph. A159233