Properties of the Number -1057

Fifty-Seven

Basics

Value: -1058 → -1057 → -1056

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 7 × 151

Divisors: 1, 7, 151, 1057

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10000100001

Octal: -2041

Duodecimal: -741

Hexadecimal: -421

Square: 1117249

Square Root: 32.51153641401772

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

a(n+3) = 2a(n+2) - 3a(n+1) + 2a(n); a(0) = 1, a(1) = 1, a(2) = 0. A105578

Dirichlet g.f.: ζ(s-2)² * (1 - 2^3-s) / ζ(s). A368929

Expansion of (1-x) / (1+x²+2·x³). A78033

a(n) = (2*(-4)^(p-3/4) + 1)/p, where p is the n-th prime congruent to 3 mod 4. A318908

sech(tanh(x)*cos(x))=1-1/2!*x²+25/4!*x⁴-1057/6!*x⁶+81905/8!*x⁸... A12692

E.g.f.: arctan(cosh(x)*tan(x))=x+3/3!*x³-35/5!*x⁵-1057/7!*x⁷+59865/9!*x⁹... A12767

Central polygonal numbers: a(n) = n² - n + 1. A2061

sigma₅(n), the sum of the 5th powers of the divisors of n. A1160

Expansion of e.g.f. exp(x·exp(x)). A248

a(n) = 1ⁿ + 2ⁿ + 4ⁿ. A1576