Properties of the Number 55789

Fifty-Five Thousand Seven Hundred Eighty-Nine

Basics

Value: 55788 → 55789 → 55790

Parity: odd

Prime: No

Previous Prime: 55787

Next Prime: 55793

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 47 × 1187

Divisors: 1, 47, 1187, 55789

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100111101101

Octal: 154755

Duodecimal: 28351

Hexadecimal: d9ed

Square: 3112412521

Square Root: 236.19695171614725

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

Number of integer compositions of n whose leaders of weakly increasing runs are strictly increasing. A374634

a(0) = 1; a(n) = a(n-1)*(b(n)+1)/(b(n)-1), where b(n) = A385958(n) is the largest prime p such that a(n) is an integer. A385959

a(n) = binomial(n, round(sqrt(n))). A55789

The difference between the area under a peakless Motzkin path and the number of its U-steps, summed over all peakless Motzkin paths of length n (n>=0). A171851