Properties of the Number 47642

Forty-Seven Thousand Six Hundred Forty-Two

Basics

Value: 47641 → 47642 → 47643

Parity: even

Prime: No

Previous Prime: 47639

Next Prime: 47653

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 7 × 41 × 83

Divisors: 1, 2, 7, 14, 41, 82, 83, 166, 287, 574

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101000011010

Octal: 135032

Duodecimal: 236A2

Hexadecimal: ba1a

Square: 2269760164

Square Root: 218.27047441190942

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

Sum of the parts in the partitions of 4n into 4 parts with smallest part equal to 1 minus the number of these partitions. A239057

1/12 of product of three numbers: n-th prime, previous and following number. A127921

Number of base 8 n-digit numbers with adjacent digits differing by three or less. A126476

Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; the n-th Fibonacci number is in antidiagonal a(n). A57042

Number of meanders of length n with Motzkin-steps avoiding the consecutive steps UD and HH. A329675

Expansion of (∏_j>=1 (1-(-x)^j) - 1)¹⁷ in powers of x. A47642

Array read by antidiagonals: T(m,n) = number of m-ary words of length n with adjacent elements differing by 3 or less. A285267

G.f. A(x) satisfies: A( x·A(x) - x·A(x)³ ) = x². A292078