Properties of the Number 256

Two Hundred Fifty-Six

Basics

Value: 255 → 256 → 257

Parity: even

Prime: No

Previous Prime: 251

Next Prime: 257

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁸

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 256

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000000

Octal: 400

Duodecimal: 194

Hexadecimal: 100

Square: 65536

Square Root: 16

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Powers of 2: a(n) = 2ⁿ. A79

The squares: a(n) = n². A290

Expansion of ∏_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts. A9

Coefficients of expansion of (1-x)/(1-2·x) in powers of x. A11782

Coordination sequence T1 for Zeolite Code ABW and ATN. A8000

Perfect powers: m^k where m > 0 and k >= 2. A1597

Least integer of each prime signature A124832; also products of primorial numbers A002110. A25487

a(n) = nⁿ; number of labeled mappings from n points to themselves (endofunctions). A312

Powers of 4: a(n) = 4ⁿ. A302

Powerful numbers, definition (1): if a prime p divides n then p² must also divide n (also called squareful, square full, square-full or 2-powerful numbers). A1694

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