Properties of the Number 2057

Two Thousand Fifty-Seven

Basics

Value: 2056 → 2057 → 2058

Parity: odd

Prime: No

Previous Prime: 2053

Next Prime: 2063

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 11 ² × 17

Divisors: 1, 11, 17, 121, 187, 2057

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000001001

Octal: 4011

Duodecimal: 1235

Hexadecimal: 809

Square: 4231249

Square Root: 45.35416188179427

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

Odd numbers of the form p^1+4k * r², where p is prime of the form 1+4m, r > 1, and gcd(p,r) = 1. (Euler's criteria for odd perfect numbers). A228058

Centered icosahedral (or cuboctahedral) numbers, also crystal ball sequence for f.c.c. lattice. A5902

The n-th n-gonal number: a(n) = n*(n² - 3·n + 4)/2. A60354

One of the two successive approximations up to 5ⁿ for the 5-adic integer sqrt(-1). A48898

Numbers that are the sum of 11 positive 10th powers. A4811

Numbers that are the sum of 10 positive 11th powers. A4821

Generalized 17-gonal (or heptadecagonal) numbers: m*(15·m - 13)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303305

Number of ways to choose a constant partition of each part of a constant partition of n. A279789

Numbers whose binary indices and prime indices have the same sum. A372427

T-toothpick sequence (see Comments lines for definition). A160172