Properties of the Number 27057

Twenty-Seven Thousand Fifty-Seven

Basics

Value: 27056 → 27057 → 27058

Parity: odd

Prime: No

Previous Prime: 27043

Next Prime: 27059

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 29 × 311

Divisors: 1, 3, 29, 87, 311, 933, 9019, 27057

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100110110001

Octal: 64661

Duodecimal: 137A9

Hexadecimal: 69b1

Square: 732081249

Square Root: 164.4901212839239

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

Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic nonresidues mod p. A282043

a(n) is the sum of quadratic nonresidues of A002145(n) (the n-th prime == 3 mod 4). A282036

Number of 3 X 3 integer matrices with elements in the range [ -n,n ] which represent a rotation of order 2. A53171

Constant term of the reduction by x² -> x+1 of the polynomial p(n,x) defined below in Comments. A192746

Construct sequences P,Q,R by the rules: Q = first differences of P, R = second differences of P, P starts with 1,3,9, Q starts with 2,6, R starts with 4; at each stage the smallest number not yet present in P,Q,R is appended to R. Sequence gives P. A225385

Numbers n such that n² + 1 is divisible by a 5th power. A218564

E.g.f.: A(x) = exp( ∑_n>=1 2^n(n-1/2) * xⁿ/n ). A171777

E.g.f. satisfies: A(x) = 1 + A(x)⁴ * Integral 1/A(x)³ dx. A234293

Numbers k such that k⁴ == 1 (mod 5⁵). A56102

Numbers k such that k![4] - 1024 is prime, where k![4] = A007662(k) = quadruple factorial. A329184