Properties of the Number 76972

Seventy-Six Thousand Nine Hundred Seventy-Two

Basics

Value: 76971 → 76972 → 76973

Parity: even

Prime: No

Previous Prime: 76963

Next Prime: 76991

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 7 × 2749

Divisors: 1, 2, 4, 7, 14, 28, 2749, 5498, 10996, 19243

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010110010101100

Octal: 226254

Duodecimal: 38664

Hexadecimal: 12cac

Square: 5924688784

Square Root: 277.4382814248964

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

Numbers k such that 7^k starts with k. A362099

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). A234227

Number of series-reduced rooted trees whose leaves are non-singleton integer partitions whose multiset union is an integer partition of n with no 1's. A320294

Triangle read by rows: T(n,k) is the number of series-reduced rooted trees whose leaves are multisets of colors with a total of n elements using exactly k colors. A330762

Number of (n+1) X (2+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). A234221

Number of (n+1) X (5+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). A234224

a(n) = index of the triangular number A076971(n). A76972