Properties of the Number 55385

Fifty-Five Thousand Three Hundred Eighty-Five

Basics

Value: 55384 → 55385 → 55386

Parity: odd

Prime: No

Previous Prime: 55381

Next Prime: 55399

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 11 × 19 × 53

Divisors: 1, 5, 11, 19, 53, 55, 95, 209, 265, 583

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100001011001

Octal: 154131

Duodecimal: 28075

Hexadecimal: d859

Square: 3067498225

Square Root: 235.34017931496527

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

a(n) = 5·a(n-1) - 5·a(n-2) + a(n-3) with a(1) = 1 and a(k) = 0 if k <= 0. A61278

Indices of triangular numbers which are also pentagonal. A46175

a(n) = ∑_{k=0..floor(n/2)} 2^n-2·k * binomial(2·n-2·k+1,2·k+1). A387694

a(n) = (2·n+1)*(2·n+3)*(2·n+5)/3. A162540

Numbers n such that n and n+-1 have 4 distinct prime factors. A168628

Numbers k such that φ(k) = φ(k+2) - φ(k+1). A229552

a(1) = least k such that 1/2+1/3+1/4+1/5 < H(k) - H(5); a(2) = least k such that H(a(1)) - H(5) < H(k) -H(a(1)), and for n > 2, a(n) = least k such that H(a(n-1)) - H(a(n-2)) > H(k) - H(a(n-1)), where H = harmonic number. A228025

The number of 3-length segments in all possible covers of L-length line by these segments with allowed gaps < 3. A228494

Smallest prime factor of nⁿ + 1. A55385