Properties of the Number 47643

Forty-Seven Thousand Six Hundred Forty-Three

Basics

Value: 47642 → 47643 → 47644

Parity: odd

Prime: No

Previous Prime: 47639

Next Prime: 47653

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 15881

Divisors: 1, 3, 15881, 47643

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101000011011

Octal: 135033

Duodecimal: 236A3

Hexadecimal: ba1b

Square: 2269855449

Square Root: 218.27276513573563

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

G.f. A(x) satisfies A(x) = 1 / ((1 - x) * (1 - x·A(x)⁶)). A349292

a(n) = (2·n³ + 3·n² + n + 3)/3. A188475

a(n) = 121·n² - 38·n + 3. A157443

Number of n X 3 0..2 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing. A224257

a(n) is the number of distinct scalar products which can be formed by pairs of signed permutations (V, W) of [n]. A358655

T(n,k) = number of n X k 0..2 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing. A224262

Expansion of (∏_j>=1 (1-(-x)^j) - 1)¹⁸ in powers of x. A47643