Properties of the Number 47656

Forty-Seven Thousand Six Hundred Fifty-Six

Basics

Value: 47655 → 47656 → 47657

Parity: even

Prime: No

Previous Prime: 47653

Next Prime: 47657

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 7 × 23 × 37

Divisors: 1, 2, 4, 7, 8, 14, 23, 28, 37, 46

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101000101000

Octal: 135050

Duodecimal: 236B4

Hexadecimal: ba28

Square: 2271094336

Square Root: 218.302542358077

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(n) = (n+1)*(n²+n+2)/2; g.f.: (1 + 2·x²) / (1 - x)⁴. A6000

Numbers which are the sum of two positive cubes and divisible by 23. A101806

a(n) = σ[k](n) - φ(n)^k - d(n)^k for k=3. A79539

Number of cyclic subgroups of the group GL(2, Z(n)), counting conjugates as distinct. A316560

Members of a pair (m,k) such that σ(m) = σ(k) = σ(m+k), m < k where σ = A000203. A239436

Number of ways of placing n balls into boxes 1,2,... in such a way that any two adjacent boxes contain at least 4 balls. A257666

a(n) = 3^(n²-n/2). A47656

Number of nX4 0..1 arrays with every element equal to 1, 2 or 4 horizontally or vertically adjacent elements, with upper left element zero. A301665

Expansion of 1/(1 - x/(1 - 9·x)^5/3). A382517