Properties of the Number 27818

Twenty-Seven Thousand Eight Hundred Eighteen

Basics

Value: 27817 → 27818 → 27819

Parity: even

Prime: No

Previous Prime: 27817

Next Prime: 27823

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 7 × 1987

Divisors: 1, 2, 7, 14, 1987, 3974, 13909, 27818

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110110010101010

Octal: 66252

Duodecimal: 14122

Hexadecimal: 6caa

Square: 773841124

Square Root: 166.7872896835967

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

Square array A(n, k) = A388283(A246278(n, k)), read by falling antidiagonals. Numerator of (3·n-σ(n))/n, as applied to the prime shift array. A388284

Expansion of ∏_k>=1 1/(1 - x^k*(k+1/2))^k*(k+1/2). A298730

Number of 5-step E, S, NW and NE-moving king's tours on an n X n board summed over all starting positions. A187588

Number of nX5 0..1 arrays with every element unequal to 0, 1, 3 or 5 king-move adjacent elements, with upper left element zero. A303966

a(1) = 1; a(n) = 1 + a(n-1) + ∑_k=2..n a(floor(n/k)). A351621

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3 or 5 king-move adjacent elements, with upper left element zero. A303969

a(n) = (n+1)*binomial(n+6,6). A27818

Square array A(n, k) = 3·A246278(n, k) - σ(A246278(n, k)), read by falling antidiagonals. A033885(n) = 3·n-σ(n) as applied to the prime shift array. A388285