Properties of the Number 55297

Fifty-Five Thousand Two Hundred Ninety-Seven

Basics

Value: 55296 → 55297 → 55298

Parity: odd

Prime: No

Previous Prime: 55291

Next Prime: 55313

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 11 ² × 457

Divisors: 1, 11, 121, 457, 5027, 55297

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100000000001

Octal: 154001

Duodecimal: 28001

Hexadecimal: d801

Square: 3057758209

Square Root: 235.15314159075146

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

Least number·such that gcd(φ(x), σ(x)) = n. A73815

Pierpont 3-almost primes. 3-almost primes of form (2^K)*(3^L)+1. A112797

a(n) = [xⁿ] ∏_k=1..n 1/(1 - (n - k + 1)*x^k). A303175

Smallest number m such that GCD(a+b,a-b) = n, where a = σ(m) and b = φ(m). A77102

a(n) = 54·n² + 1. A158646

Augmentation of the triangle A193605. See Comments. A193606

Number of compositions of n where the difference between largest and smallest parts equals 8 and adjacent parts are unequal. A214277

Numbers n such that σ(n) - n - 1 = π(n). A64439

Sum of the positive differences of the cubed parts in each partition of n into two parts. A335639

Number of trees with n nodes and 10 leaves. A55297