Properties of the Number 27688

Twenty-Seven Thousand Six Hundred Eighty-Eight

Basics

Value: 27687 → 27688 → 27689

Parity: even

Prime: No

Previous Prime: 27673

Next Prime: 27689

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 3461

Divisors: 1, 2, 4, 8, 3461, 6922, 13844, 27688

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110000101000

Octal: 66050

Duodecimal: 14034

Hexadecimal: 6c28

Square: 766625344

Square Root: 166.39711535961192

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

Positive numbers of the form x⁵-10x³*y²+5x·y⁴ (where x,y are integers and x>y). A135791

Numbers of the form x⁵-10x³*y²+5x·y⁴ (where x,y are integers). A135793

Real part of (n + i)⁵. A121672

The least integer k >= 0 for which A328578(k) = A257993(A276086(A276086(k))) = n. A328761

Triangle read by rows: T(n,k) is the number of k-matchings in the P₃ X P_n lattice graph. A100245

For positive n with prime decomposition n = ∏_j=1..m (p_j^k_j) define A_n = ∑_j=1..m (p_j*k_j) and B_n = ∑_j=1..m (p_j^k_j). This sequence gives those n for which A_n and B_n are both prime and B_n = A_n + 2 (i.e., form a twin prime pair). A185718

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 83. A31581

a(n) = n² + n + 3. A27688

G.f. A(x) satisfies: [xⁿ] A(x)ⁿ⁺¹ = [xⁿ] (1 + x·A(x)ⁿ⁺⁵)ⁿ⁺¹ for n >= 0. A360237