Properties of the Number 53217

Fifty-Three Thousand Two Hundred Seventeen

Basics

Value: 53216 → 53217 → 53218

Parity: odd

Prime: No

Previous Prime: 53201

Next Prime: 53231

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁶ × 73

Divisors: 1, 3, 9, 27, 73, 81, 219, 243, 657, 729

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111111100001

Octal: 147741

Duodecimal: 26969

Hexadecimal: cfe1

Square: 2832049089

Square Root: 230.68810112357335

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

Expansion of 1/(1 - 9·x*(1-x)²)^1/3. A361844

Square array T(n,k), n>=0, k>=0, read by antidiagonals downwards, where column k is the expansion of 1/(1 - 9·x*(1 - x)^k)^1/3. A361840

Triangle read by rows: T(n,k), 0 <= k <= n, gives the coefficients of the Charlier polynomials (with parameter a=1), ordered by rising powers. A137338

q-expansion of modular form psi₀⁴/t_3B. A198956

(n-1)-st elementary symmetric function of the first n terms of the periodic sequence (1,1,1,3,1,1,1,3,...). A203235

a(n) = 3·a(n-1) - 3·a(n-2) + 3·a(n-3), with a(0)=1, a(1)=3, a(2)=1. A136297

G.f. A(x) satisfies: A(x) = A(x²) + x * (1 + 4·x + x²) / (1 - x)⁴. A328408

a(1)=1, a(2)=2. a(n) is the a(n-1)th integer from among those positive integers coprime to a(n-2). A126881

a(n) = 73·n². A174334

Numbers of the form 6^j + 9^k, for j and k >= 0. A226830