Properties of the Number 55384

Fifty-Five Thousand Three Hundred Eighty-Four

Basics

Value: 55383 → 55384 → 55385

Parity: even

Prime: No

Previous Prime: 55381

Next Prime: 55399

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 7 × 23 × 43

Divisors: 1, 2, 4, 7, 8, 14, 23, 28, 43, 46

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100001011000

Octal: 154130

Duodecimal: 28074

Hexadecimal: d858

Square: 3067387456

Square Root: 235.3380547212881

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 which are the sum of two positive cubes and divisible by 23. A101806

Numbers k such that k, k+1 and k+2 have exactly 4 distinct prime factors. A364309

Members of a pair (m,k) such that σ(m) = σ(k) = σ(m+k), m < k where σ = A000203. A239436

Expansion of g.f. A(x) satisfying A( x³*A(x) - x³*A(x)² ) = x⁴. A371714

Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 3,2,0. A37670

Coordination sequence for E₈ lattice. A8340

Crystal ball sequence for E₈ lattice. A8349

Number of points in interior of n-th crystal ball in E₈ lattice. A1361

Expansion of (1 + 4·x + 14·x² + 34·x³ + 63·x⁴ + 80·x⁵ + 87·x⁶ + 68·x⁷ + 42·x⁸ + 20·x⁹ + 7·x¹⁰) / ((1 - x)*(1 - x²)²*(1 - x³)²*(1 - x⁴)). A55384

Number of (n+2)X(5+2) 0..1 arrays with every 3X3 subblock sum of the four sums of the central row, central column, diagonal and antidiagonal nondecreasing horizontally and vertically. A254565