Properties of the Number 2257

Two Thousand Two Hundred Fifty-Seven

Basics

Value: 2256 → 2257 → 2258

Parity: odd

Prime: No

Previous Prime: 2251

Next Prime: 2267

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 37 × 61

Divisors: 1, 37, 61, 2257

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011010001

Octal: 4321

Duodecimal: 1381

Hexadecimal: 8d1

Square: 5094049

Square Root: 47.50789408087881

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

Sum of divisors of square numbers. A65764

Number of sublattices of index n in generic 3-dimensional lattice. A1001

a(n) = 4·n² - 10·n + 7. A54554

a(n) = a(n-1) + a(floor(n/2)), a(1) = 1. A33485

Numbers that are the sum of 10 positive 6th powers. A3366

Triangle T by rows: second differences of Motzkin triangle (A026300), (i >= -1, -1<=j<=i). A26120

a(n) = p² + p + 1 where p runs through the primes. A60800

a(n) = n*(3·n + 11)/2. A59845

Norm of the sum of divisors function σ(n) generalized for Gaussian integers. A103230