Properties of the Number 79728

Seventy-Nine Thousand Seven Hundred Twenty-Eight

Basics

Value: 79727 → 79728 → 79729

Parity: even

Prime: No

Previous Prime: 79699

Next Prime: 79757

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 11 × 151

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011101110000

Octal: 233560

Duodecimal: 3A180

Hexadecimal: 13770

Square: 6356553984

Square Root: 282.36147045940953

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

Coordination sequence for F₄ lattice. A19558

Triangle T(n,m) of the coefficients JacobiNC(x,y) = ∑_n>0 ∑_m=0..n-1 (-1)^m* T(n,m) *x^2·n *y^2·m/(2·n)!. A181613

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 3 (constant-stress 1 X 1 tilings). A235295

Number of (n+1) X (8+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). A235298

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 3 (constant-stress 1 X 1 tilings). A235301

sum(k=0,p,binomial(2·k,k)) (mod p) where p runs through the primes. A79728