Properties of the Number 5959

Five Thousand Nine Hundred Fifty-Nine

Basics

Value: 5958 → 5959 → 5960

Parity: odd

Prime: No

Previous Prime: 5953

Next Prime: 5981

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 59 × 101

Divisors: 1, 59, 101, 5959

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101000111

Octal: 13507

Duodecimal: 3547

Hexadecimal: 1747

Square: 35509681

Square Root: 77.19455939378112

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

Ruth-Aaron numbers (2): sum of prime divisors of n = sum of prime divisors of n+1 (both taken with multiplicity). A39752

Number of Golomb partitions of n. A325858

a(n) = |{m : multiplicative order of 5 mod m=n}|. A59887

Numbers k such that σ(k) = σ(k+4). A15863

T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal and antidiagonal neighbors less than itself. A266033

Diagonal of triangular spiral in A051682. A81267

Sum of the fourth largest parts in the partitions of n into 6 squarefree parts. A308908

Discriminants of imaginary quadratic fields with class number 42 (negated). A351680

G.f. A(x) satisfies A(x) = 1 + ∑_n>=1 A(x)ⁿ * xⁿ/(1 - x^2·n). A192401

Number of n X 1 0..4 arrays with each element equal to the number its horizontal and vertical neighbors less than itself. A196423