Properties of the Number 79730

Seventy-Nine Thousand Seven Hundred Thirty

Basics

Value: 79729 → 79730 → 79731

Parity: even

Prime: No

Previous Prime: 79699

Next Prime: 79757

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 7 × 17 × 67

Divisors: 1, 2, 5, 7, 10, 14, 17, 34, 35, 67

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011101110010

Octal: 233562

Duodecimal: 3A182

Hexadecimal: 13772

Square: 6356872900

Square Root: 282.3650119968832

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

Squarefree integers m > 1 such that if prime p divides m, then s_p(m) >= p and s_p(m) == 2 (mod p-1), where s_p(m) is the sum of the base p digits of m. A324404

Principal diagonal of the convolution array A213819. A213820

Expansion of q^-3/4 * η(q²)² * η(q²⁰) / (η(q)² * η(q⁴)) in powers of q. A146163

a(n) = ∑_i=1..n-1(i^n-2) mod n⁴. A284760

Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..1 n X 2 array. A218078

Number of length n 0..2 arrays with no pair in any consecutive three terms totalling exactly 2. A245989

Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252300

Kolakoski variation using (1,2,3,4) starting with 1,2. A79730