Properties of the Number 70968

Seventy Thousand Nine Hundred Sixty-Eight

Basics

Value: 70967 → 70968 → 70969

Parity: even

Prime: No

Previous Prime: 70957

Next Prime: 70969

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 2957

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 2957, 5914

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001010100111000

Octal: 212470

Duodecimal: 350A0

Hexadecimal: 11538

Square: 5036457024

Square Root: 266.39819819210487

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) = a(n-1) + ∑_{k=1..floor(n/4)} a(n-4k), with a(0)=1. A113439

Rounded volume of a regular dodecahedron with edge length n. A71401

Second row of A113439. A113441

Number of walks within N² (the first quadrant of Z²) starting and ending at (0,0) and consisting of n steps taken from {(-1, -1), (-1, 0), (-1, 1), (0, -1), (1, 0)}. A151348

Number of (n+2) X (6+2) 0..3 arrays with every 3 X 3 subblock row and column sum equal to 0 2 3 6 or 7 and every 3 X 3 diagonal and antidiagonal sum not equal to 0 2 3 6 or 7. A252112

Number of (7+1)X(n+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically. A253704

Poincaré series [or Poincare series] (or Molien series) for mod 2 cohomology of universal W-group W(4). A14697

Number of cycles in the complete bipartite graph K(n,n). A70968

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 2 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 2 3 6 or 7. A252114