Properties of the Number 79104

Seventy-Nine Thousand One Hundred Four

Basics

Value: 79103 → 79104 → 79105

Parity: even

Prime: No

Previous Prime: 79103

Next Prime: 79111

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁸ × 3 × 103

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011010100000000

Octal: 232400

Duodecimal: 39940

Hexadecimal: 13500

Square: 6257442816

Square Root: 281.25433329995116

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

a(1)=4, a(2)=4, a(n) = 4·a(n-1) + 4·a(n-2). A189743

Consider all Pythagorean triples (Y-7,Y,Z); sequence gives Y values. A76295

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 437", based on the 5-celled von Neumann neighborhood. A282217

Expansion of (2 * η(q²)²⁴ - η(q)¹⁶ * η(q⁴)⁸)³ / (η(q)⁴ * η(q²) * η(q⁴)⁶)⁴ in powers of q. A226086

Number of (n+1) X (n+1) 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly one clockwise edge increases. A207042

Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..2 array extended with zeros and convolved with 1,3,3,1. A222021

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases. A207050

G.f. A(x) satisfies: A( 2·A(x)² - 8·A(x)³ ) = 2·x². A291314

Number of permutations of length n containing the minimum number of monotone subsequences of length 4. A79104

Expansion of g.f. A(x) satisfying A(x) = 1 + 4·x * AGM(A(x)², A(x)⁴). A369537