Properties of the Number 71752

Seventy-One Thousand Seven Hundred Fifty-Two

Basics

Value: 71751 → 71752 → 71753

Parity: even

Prime: No

Previous Prime: 71741

Next Prime: 71761

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 8969

Divisors: 1, 2, 4, 8, 8969, 17938, 35876, 71752

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100001001000

Octal: 214110

Duodecimal: 35634

Hexadecimal: 11848

Square: 5148349504

Square Root: 267.8656379605268

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

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5. A251905

a(n) is the smallest positive number such that the sum of A001032(n) consecutive squares starting with a(n)² is a square. A7475

Number of regular octahedra that can be formed using the points in an (n+1)X(n+1)X(n+1) lattice cube. A178797

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5. A251898

Expansion of (1+x⁴*C³)*C³, where C = (1-(1-4·x)^1/2)/(2·x) is g.f. for Catalan numbers, A000108. A71752