Properties of the Number 75272

Seventy-Five Thousand Two Hundred Seventy-Two

Basics

Value: 75271 → 75272 → 75273

Parity: even

Prime: No

Previous Prime: 75269

Next Prime: 75277

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 97 ²

Divisors: 1, 2, 4, 8, 97, 194, 388, 776, 9409, 18818

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010011000001000

Octal: 223010

Duodecimal: 37688

Hexadecimal: 12608

Square: 5665873984

Square Root: 274.35743110038044

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

Coordination sequence for (2,3,9) tiling of hyperbolic plane. A265059

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..1 introduced in row major order. A203923

Number of perfect matchings in the C_2n X P₃ graph (C_2n is the cycle graph on 2n vertices and P₃ is the path graph on 3 vertices). A102091

Pierce expansion of 84 - 48·sqrt(3). A219510

Number of -1..1 arrays x(0..n-1) of n elements with zero sum and no two neighbors equal. A199697

Number of (w,x,y,z) with all terms in {1,...,n} and |w-x|>|x-y|+|y-z|. A212573

Triangle read by rows: The number of domino tilings of the (2n+1) X (2m+1) board with a central free square. A270668

Number of perfect matchings in graph C₁₆ X P_n. A28487

Number of perfect matchings of the (2n+1) X (2n+1) grid H_n with a central unit hole. A143659

Number of (n+2)X5 0..1 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..1 introduced in row major order. A203918