Properties of the Number 2258

Two Thousand Two Hundred Fifty-Eight

Basics

Value: 2257 → 2258 → 2259

Parity: even

Prime: No

Previous Prime: 2251

Next Prime: 2267

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 1129

Divisors: 1, 2, 1129, 2258

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100011010010

Octal: 4322

Duodecimal: 1382

Hexadecimal: 8d2

Square: 5098564

Square Root: 47.51841748206689

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

Expansion of g.f.: (1 + x)/(1 - 3·x - 2·x²). A55099

Numbers n such that (n! + 2)/2 is a prime. A82672

a(n) = n² + n + 2. A14206

Number of partitions of n such that the successive differences of consecutive parts are nondecreasing. A240026

Numbers that are the sum of 11 positive 6th powers. A3367

Snowflake (or E-toothpick) sequence (see Comments lines for definition). A161330

Number of partitions of n in which each part, with the possible exception of the largest, occurs at least twice. A116931

Composite and every divisor (except for 1) contains the digit 2. A62664

T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero. A231246

a(n) = a(n-1) + a(m) for n >= 3, where m = 2^p+1 + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1 and a(2) = 2. A50049