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Properties of the Number 69972

Sixty-Nine Thousand Nine Hundred Seventy-Two

Basics

Value: 69971 → 69972 → 69973

Parity: even

Prime: No

Previous Prime: 69959

Next Prime: 69991

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 2 × 3 × 7 3 × 17

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 17, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 10001000101010100

Octal: 210524

Duodecimal: 345B0

Hexadecimal: 11154

Square: 4896080784

Square Root: 264.52221078767656

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 nXk 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. A283726
a(n) is the rightmost term of Mn * [1 0 0], where M is the 3 X 3 matrix [0 1 0 / 0 0 1 / 7 -14 7]. A94430
Seventh column (m=6) of (1,6)-Pascal triangle A096956. A97297
Nonnegative values·of solutions (x, y) to the Diophantine equation x2+(x+16807)2 = y2. A118576
Number of peaks at odd level in all Dyck paths of semilength n that have no ascents and no descents of length 1. A167636
Number of descent sequences of length n without two consecutive identical elements (descent sequences without flat steps). A238425
Expansion of ∏k>=0 1/(1-x3·k+1)4. A261635
Number of n X 3 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. A283721
Number of 6Xn 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. A283731
Ordered product of the terms in a primitive Pythagorean quadruple (with repetitions). A367737