Properties of the Number 55825

Fifty-Five Thousand Eight Hundred Twenty-Five

Basics

Value: 55824 → 55825 → 55826

Parity: odd

Prime: No

Previous Prime: 55823

Next Prime: 55829

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 ² × 7 × 11 × 29

Divisors: 1, 5, 7, 11, 25, 29, 35, 55, 77, 145

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 1101101000010001

Octal: 155021

Duodecimal: 28381

Hexadecimal: da11

Square: 3116430625

Square Root: 236.27314701421318

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 k with precisely n partitions k = x + y satisfying σ(k) = σ(x) + σ(y). A211224

Number of singular 2 X 2 matrices over Z(n) (i.e., with determinant = 0). A20478

Number of n X 1 0..1 arrays with the number of 1's king-move adjacent to some 0 two less than the number of 0's adjacent to some 1. A286209

Number of non-congruent solutions of x² + y² + z² + t² == 0 mod n. A240547

Indices of records in A192013: ∑_d∣n Kronecker(-6, d). A279541

Occurrences of decrease of the probability density P(n) of coprime numbers k,m, satisfying 1 <= k <= a(n) and 1 <= m <= a(n), and a(n) congruent to 1 (mod 2) and a(n) not congruent to 3 (mod 6). A280879

The denominators of the semiderivative of the Euler polynomials at x = 1 and normalized by sqrt(π). A346715

Row sums of triangle A115237. A115238

a(n) = n*(1+n²)*((2+n²)²-n²)/16. A94311

Smallest zeroless number·such that xⁿ has exactly n zero digits. A233821