Properties of the Number 71936

Seventy-One Thousand Nine Hundred Thirty-Six

Basics

Value: 71935 → 71936 → 71937

Parity: even

Prime: No

Previous Prime: 71933

Next Prime: 71941

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁸ × 281

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 256, 281

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100100000000

Octal: 214400

Duodecimal: 35768

Hexadecimal: 11900

Square: 5174788096

Square Root: 268.2088738278434

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) is the number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings). A234333

Composite numbers m that divide A123855(m-1) = ∑_i=1..m-1 ∑_j=1..m-1 prime(i)^j. A123857

Expansion of 1 / ((1-x)⁵ - x⁴)². A392589

Terms of A123857 that are not powers of 2. A124238

Number of (n+1) X (1+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings). A234326

Number of (n+1) X (5+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings). A234330

G.f.: 1/(1 - 1·2*x/(1 + 2·3*x/(1 - 3·4*x/(1 + 4·5*x/(1 - 5·6*x/(1 + ...)))))), a continued fraction. A331405

Sequence gives the Poincaré series [or Poincare series] of an ordinal Hodge algebra, or algebra with straightening law, for a ring that the braid group on four strands acts on. It is Cohen-Macaulay. A156231

Sum of 1-fibits in Zeckendorf-expansion A014417(p) summed for all primes p in range [Fib(n+1),Fib(n+2)[ (where Fib = A000045). A95353

K(n+1,n) where K(x,y) is the Kronecker symbol (x/y). A71936