Properties of the Number 253

Two Hundred Fifty-Three

Basics

Value: 252 → 253 → 254

Parity: odd

Prime: No

Previous Prime: 251

Next Prime: 257

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 11 × 23

Divisors: 1, 11, 23, 253

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111101

Octal: 375

Duodecimal: 191

Hexadecimal: fd

Square: 64009

Square Root: 15.905973720586866

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

Triangular numbers: a(n) = binomial(n+1,2) = n*(n+1)/2 = 0 + 1 + 2 + ... + n. A217

Numbers k such that (7·10^k + 71)/3 is prime. A270831

Number of partitions of n that do not contain 1 as a part. A2865

Numbers whose base-3 representation contains no 2. A5836

a(n) = ∑_{d divides n} q(d), where q(d) = A000009 = number of partitions of d into distinct parts. A47966

Second hexagonal numbers: a(n) = n*(2·n + 1). A14105

a(n) = 6·n + 1. A16921

Odd semiprimes: odd numbers divisible by exactly 2 primes (counted with multiplicity). A46315

Ulam numbers: a(1) = 1; a(2) = 2; for n>2, a(n) = least number > a(n-1) which is a unique sum of two distinct earlier terms. A2858

Denominators of greedy Egyptian fraction for square root of 2. A6487