Properties of the Number 5292

Five Thousand Two Hundred Ninety-Two

Basics

Value: 5291 → 5292 → 5293

Parity: even

Prime: No

Previous Prime: 5281

Next Prime: 5297

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 7 ²

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010010101100

Octal: 12254

Duodecimal: 3090

Hexadecimal: 14ac

Square: 28005264

Square Root: 72.74613391789285

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

Triangle of Narayana numbers T(n,k) = C(n-1,k-1)*C(n,k-1)/k with 1 <= k <= n, read by rows. Also called the Catalan triangle. A1263

a(n) = 3·n². A33428

Achilles numbers - powerful but imperfect: if n = Product(p_i^e_i) then all e_i > 1 (i.e., powerful), but the highest common factor of the e_i is 1, i.e., not a perfect power. A52486

Number of points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n² + 2. Also coordination sequence for f.c.c. or A₃ or D₃ lattice. A5901

Second 10-gonal (or decagonal) numbers: n*(4·n+3). A33954

Expansion of 6-dimensional cusp form (η(q) * η(q³))⁶ in powers of q. A7332

Triangle of Narayana (A001263) with 0 <= k <= n, read by rows. A90181

Kaprekar numbers: positive numbers n such that n = q+r and n² = q·10^m+r, for some m >= 1, q >= 0 and 0 <= r < 10^m, with n ≠ 10^a, a >= 1. A6886

Generalized 25-gonal (or icosipentagonal) numbers: m*(23·m - 21)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303304

a(n) = n² * φ(n). A53191