Properties of the Number 27506

Twenty-Seven Thousand Five Hundred Six

Basics

Value: 27505 → 27506 → 27507

Parity: even

Prime: No

Previous Prime: 27487

Next Prime: 27509

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 17 × 809

Divisors: 1, 2, 17, 34, 809, 1618, 13753, 27506

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110101101110010

Octal: 65562

Duodecimal: 13B02

Hexadecimal: 6b72

Square: 756580036

Square Root: 165.8493292117879

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 ways to partition n elements into pie slices of different sizes. A32153

a(n) = (1/3ⁿ) * ∑_k=0..n³ ( (binomial(n³, k) * 2^k) (mod 3ⁿ) ). A376536

Integers k > 10577 such that the 'Reverse and Add!' trajectory of k joins the trajectory of 10577. A63434

Sum of squares of entries of Wilkinson's eigenvalue test matrix of order 2n+1. A59834

Expansion of (1-x)^-1/(1+x+x²-2·x³). A77907

G.f. A(x) = lim_n->infinity (1 - P(n,x))/(-2·x)ⁿ, where P(1,x) = 1/sqrt(1 - 4·x), and P(n+1,x) = 1/sqrt(1 - 4·x + 4·x*P(n,x)) for n >= 1. A351510

Number of nX6 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 0 1 vertically. A207760

Third diagonal of A027497. A27506