Properties of the Number 55309

Fifty-Five Thousand Three Hundred Nine

Basics

Value: 55308 → 55309 → 55310

Parity: odd

Prime: No

Previous Prime: 55291

Next Prime: 55313

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 19 × 41 × 71

Divisors: 1, 19, 41, 71, 779, 1349, 2911, 55309

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100000001101

Octal: 154015

Duodecimal: 28011

Hexadecimal: d80d

Square: 3059085481

Square Root: 235.17865549407327

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

Numbers k such that 6*φ(k) = 5*σ(k). A65823

Number of ways to arrange 4 points on an n X n X n triangular grid on an isosceles triangle so that it balances at the midpoint of its central altitude. A194021

Squarefree numbers k such that α(k) = λ(k), where α(k) = LCM of all (p+1) for primes p dividing k, and λ(k) = A002322(k). A287514

Maximum cardinality of a subset of Dyck n-paths p that share both the same area and the same maj(β(p)) statistic. A193617

Composite squarefree numbers n such that each p-sopfr(n) divides n+sopfr(n), where p runs through the prime factors of n, and where sopfr(n) is the sum of the prime factors of n (A001414). A228303

Number of labeled rooted trees with n nodes and 8 leaves. A55309