Properties of the Number 2304

Two Thousand Three Hundred Four

Basics

Value: 2303 → 2304 → 2305

Parity: even

Prime: No

Previous Prime: 2297

Next Prime: 2309

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ⁸ × 3 ²

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100000000

Octal: 4400

Duodecimal: 1400

Hexadecimal: 900

Square: 5308416

Square Root: 48

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

The squares: a(n) = n². A290

Expansion of ∏_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts. A9

Least integer of each prime signature A124832; also products of primorial numbers A002110. A25487

a(n) = n·2^n-1. A1787

3-smooth numbers: numbers of the form 2ⁱ*3^j with i, j >= 0. A3586

Powerful numbers (A001694) that are not prime powers (A000961). A286708

Even squares: a(n) = (2·n)². A16742

Coefficients in expansion of Eisenstein series E₂ (also called E₁ or G₂). A6352

Triangle whose (i,j)-th entry is binomial(i,j)*2^i-j. A38207

Half the number of 3 X n binary arrays with no path of adjacent 1's or adjacent 0's from top row to bottom row. A69429