Properties of the Number 2289

Two Thousand Two Hundred Eighty-Nine

Basics

Value: 2288 → 2289 → 2290

Parity: odd

Prime: No

Previous Prime: 2287

Next Prime: 2293

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 109

Divisors: 1, 3, 7, 21, 109, 327, 763, 2289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011110001

Octal: 4361

Duodecimal: 13A9

Hexadecimal: 8f1

Square: 5239521

Square Root: 47.843494855622744

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

Generalized 12-gonal numbers: k*(5·k-4) for k = 0, +-1, +-2, ... A195162

Number of points of norm <= n² in square lattice. A328

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + 2, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A293765

Number of atoms in a decahedron with n shells. A4068

Generalized 27-gonal (or icosiheptagonal) numbers: m*(25·m - 23)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A316725

Numbers k such that φ(k) is a perfect biquadrate. A78164

Number of integer partitions of n such that more than one set can be obtained by choosing a different divisor of each part. A370803

Numbers k such that k³ divides 16^k² - 1. A177916

List of binary palindromes of even length (written in base 10). A48701

Expansion of 1/(1 - x⁵ - x⁶). A17837