Properties of the Number 27622

Twenty-Seven Thousand Six Hundred Twenty-Two

Basics

Value: 27621 → 27622 → 27623

Parity: even

Prime: No

Previous Prime: 27617

Next Prime: 27631

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 7 × 1973

Divisors: 1, 2, 7, 14, 1973, 3946, 13811, 27622

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101111100110

Octal: 65746

Duodecimal: 13B9A

Hexadecimal: 6be6

Square: 762974884

Square Root: 166.19867628835075

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

Number of set partitions of [n] having the maximal possible number of pairs (m,m+1) such that m+1 is in some block b and m is in block b+1. A270967

Becomes prime or 4 after exactly 9 iterations of f(x) = sum of prime factors of x. A48131

75-gonal numbers: a(n) = n*(73·n-71)/2. A98230

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 397", based on the 5-celled von Neumann neighborhood. A271691

In decimal expansion of exp(π), positions of 10-digit partitions containing exactly 10 distinct digits. A104791

G.f. satisfies: A(x) = 1 + (η(x²*A(x)²)¹⁰ / (η(x·A(x))⁴ * η(x⁴*A(x)⁴)⁴) - 1)/4, where η(q) is the Dedekind η function without the q^1/24 factor. A202135

a(n) = n + (n+1)² + (n+2)³ + (n+3)⁴ + (n+4)⁵. A27622