Properties of the Number 1233

One Thousand Two Hundred Thirty-Three

Basics

Value: 1232 → 1233 → 1234

Parity: odd

Prime: No

Previous Prime: 1231

Next Prime: 1237

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 137

Divisors: 1, 3, 9, 137, 411, 1233

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011010001

Octal: 2321

Duodecimal: 869

Hexadecimal: 4d1

Square: 1520289

Square Root: 35.11409973215888

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

Odd numbers of the form p^1+4k * r², where p is prime of the form 1+4m, r > 1, and gcd(p,r) = 1. (Euler's criteria for odd perfect numbers). A228058

Number of (w,x,y) such that w,x,y are all in {0,...,n} and |w-x| = |x-y|. A212959

Number of degree-n permutations of order dividing 3. A1470

Number of n X n binary matrices of order dividing 3 (also number of solutions to X³=I in GL(n,2)). A53725

a(1) = 9; a(n) = smallest number such that the juxtaposition a(1)a(2)...a(n) is a prime. A69611

L-toothpick sequence (see Comment lines for definition). A172310

Indices of squares (of primes) in the semiprimes. A128301

Number of subsets of {1..n} containing no products of two or more distinct elements. A326117

Numbers that are the sum of 3 nonzero squares in exactly 7 ways. A25327

Numbers where 3 outnumbers any other digit. A292453