Properties of the Number 55157

Fifty-Five Thousand One Hundred Fifty-Seven

Basics

Value: 55156 → 55157 → 55158

Parity: odd

Prime: No

Previous Prime: 55147

Next Prime: 55163

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 19 × 2903

Divisors: 1, 19, 2903, 55157

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011101110101

Octal: 153565

Duodecimal: 27B05

Hexadecimal: d775

Square: 3042294649

Square Root: 234.85527458415746

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 distinct solutions of sum{i=1..4}(x(2i-1)*x(2i)) = 1 (mod n), with x() only in 2..n-2. A180827

G.f.: A(x) = exp( ∑_n>=1 (1 + 2·A006519(n)*x)ⁿ * xⁿ/n ) where A006519(n) is the highest power of 2 dividing n. A163572

n has distinct digits and n=a-b where a has the digits of n in descending order and b has the digits of n in ascending order (perhaps with leading zeros). A55157