Properties of the Number 5085

Five Thousand Eighty-Five

Basics

Value: 5084 → 5085 → 5086

Parity: odd

Prime: No

Previous Prime: 5081

Next Prime: 5087

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 113

Divisors: 1, 3, 5, 9, 15, 45, 113, 339, 565, 1017

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111011101

Octal: 11735

Duodecimal: 2B39

Hexadecimal: 13dd

Square: 25857225

Square Root: 71.30918594402827

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

Fourth spoke of a hexagonal spiral. A56108

Number of integer partitions of n with all pairs of consecutive parts relatively prime. A328172

Number of 10's in all partitions of n. A24794

Number of totally ramified extensions over Q₃ with degree n in the algebraic closure of Q₃. A100980

T(n,k)=number of sequences of n integers p(i) i=0..n-1 0<=p(i)<=k·i and |p(i+1)-p(i)|<=k. A180906

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 or 4. A252075

Second 13-gonal numbers: a(n) = n*(11·n+9)/2. A211013

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+287)² = y². A205644

G.f. satisfies A(x) = 1 + x*(1 + x·A(x)⁵)³. A137962

Number of rooted plane trees where every branch that has a predecessor (a branch directly to its left and emanating from the same root) has at least as many leaves as its predecessor. A304173