Properties of the Number 231

Two Hundred Thirty-One

Basics

Value: 230 → 231 → 232

Parity: odd

Prime: No

Previous Prime: 229

Next Prime: 233

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 11

Divisors: 1, 3, 7, 11, 21, 33, 77, 231

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11100111

Octal: 347

Duodecimal: 173

Hexadecimal: e7

Square: 53361

Square Root: 15.198684153570664

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

Coordination sequence for planar net 3.3.3.3.6 (also called the fsz net). A250120

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

a(n) is the number of partitions of n (the partition numbers). A41

Hexagonal numbers: a(n) = n*(2·n-1). A384

The squarefree numbers ordered lexicographically by their prime factorization (with factors written in decreasing order). a(n) = ∏_{k in I} prime(k+1), where I is the set of indices of nonzero binary digits in n = ∑_{k in I} 2^k. A19565

Numbers in base 4. A7090

Lucky numbers. A959

Numbers that are the product of exactly three (not necessarily distinct) primes. A14612

a(n) = ∑_k=1..n floor(n/k); also ∑_k=1..n d(k), where d = number of divisors (A000005); also number of solutions to x·y = z with 1 <= x,y,z <= n. A6218

Binary palindromes: numbers whose binary expansion is palindromic. A6995

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