Properties of the Number 1057

One Thousand Fifty-Seven

Basics

Value: 1056 → 1057 → 1058

Parity: odd

Prime: No

Previous Prime: 1051

Next Prime: 1061

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

Today's Target

4823 Try Today's Challenge

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

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

a(n) = 2·n² - 1. A56220

Number of strict integer partitions of n containing the sum of some subset of the parts. A variation of sum-full strict partitions. A364272

a(n) = 4·n² - 6·n + 3. A54569

a(n) = least k such that the remainder when 9^k is divided by k is n. A127817

a(n) = n + floor(n²/2). A74148

Numbers that are the sum of 3 positive 5th powers. A3348