Properties of the Number 47698

Forty-Seven Thousand Six Hundred Ninety-Eight

Basics

Value: 47697 → 47698 → 47699

Parity: even

Prime: No

Previous Prime: 47681

Next Prime: 47699

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 2 × 7 × 3407

Divisors: 1, 2, 7, 14, 3407, 6814, 23849, 47698

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101001010010

Octal: 135122

Duodecimal: 2372A

Hexadecimal: ba52

Square: 2275099204

Square Root: 218.39871794495497

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

Structured disdyakis triacontahedral numbers (vertex structure 5). A100160

Number of n X n nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value within 2 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down. A253217

Expansion of ∏_k>=1 1/(1 - x^prime(k))². A298436

Expansion of 1/(x^k*(1-x-3·x^k+1)) for k=6. A143457

Number of n X 6 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value within 2 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down. A253221

Number of n X 7 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value within 2 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down. A253222

T(n,k) = number of n X k nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value within 2 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down. A253223

Numbers that are the sum of four positive seventh powers in two or more ways. A47698