Properties of the Number 2256

Two Thousand Two Hundred Fifty-Six

Basics

Value: 2255 → 2256 → 2257

Parity: even

Prime: No

Previous Prime: 2251

Next Prime: 2267

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 47

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 47

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100011010000

Octal: 4320

Duodecimal: 1380

Hexadecimal: 8d0

Square: 5089536

Square Root: 47.49736834815167

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

Oblong (or promic, pronic, or heteromecic) numbers: a(n) = n*(n+1). A2378

Triangle read by rows: T(n,m) (n >= m >= 1) = number of regions (or cells) formed by drawing the line segments connecting any two of the 2*(m+n) perimeter points of an m X n grid of squares. A331452

a(n) = 2·n*(2·n-1). A2939

a(n) = n*σ(n). A64987

Number of regions into which a figure made up of a row of n adjacent congruent rectangles is divided upon drawing diagonals of all possible rectangles (a(0)=0 by convention). A306302

Expansion of g.f.: (1+x)/(1-47·x). A170767

Expansion of 6-dimensional cusp form (η(q) * η(q³))⁶ in powers of q. A7332

Number of unlabeled series-parallel posets (i.e., generated by unions and sums) with n nodes. A3430

Numbers that are the sum of 9 positive 6th powers. A3365

Numbers with one fewer divisors than the sum of their prime indices. A325694