Properties of the Number 2133

Two Thousand One Hundred Thirty-Three

Basics

Value: 2132 → 2133 → 2134

Parity: odd

Prime: No

Previous Prime: 2131

Next Prime: 2137

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 79

Divisors: 1, 3, 9, 27, 79, 237, 711, 2133

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001010101

Octal: 4125

Duodecimal: 1299

Hexadecimal: 855

Square: 4549689

Square Root: 46.184412955021955

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

Octagonal numbers: n*(3·n-2). Also called star numbers. A567

V-toothpick (or honeycomb) sequence (see Comments lines for definition). A161206

Number of integer partitions of n whose negated run-lengths are not unimodal. A332639

Numbers k such that k, k+1 and k+2 have the same number of divisors. A5238

Triangle T(n,k), 0 <= k <= n, read by rows, defined by: T(0,0) = 1, T(n,k) = 0 if n<k, T(n,0) = T(n-1,0) + T(n-1,1) and for k >= 1: T(n,k) = T(n-1,k-1) + x·T(n-1,k) + T(n-1,k+1) with x = 3. A110877

Number of distinct products i·j*k with 1 <= i < j < k <= n. A27430

Numbers n such that 97 is the largest prime factor of n² - 1. A181470

Triangle read by rows: T(n,k) is the number of even permutations of {1,2,...,n} having k descents (n >= 1, k >= 0). A145882

Numbers m such that there are precisely 13 groups of order m. A292896

Numbers whose binary indices and prime indices have the same sum. A372427