Properties of the Number 65598

Sixty-Five Thousand Five Hundred Ninety-Eight

Basics

Value: 65597 → 65598 → 65599

Parity: even

Prime: No

Previous Prime: 65587

Next Prime: 65599

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 13 × 29 ²

Divisors: 1, 2, 3, 6, 13, 26, 29, 39, 58, 78

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000000111110

Octal: 200076

Duodecimal: 31B66

Hexadecimal: 1003e

Square: 4303097604

Square Root: 256.12106512350755

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 partitions p of n such that the number of numbers having multiplicity 1 in p is a part of p. A241413

Number of (n+1) X (5+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nonincreasing x(i,j)-x(i-1,j) in the j direction. A250739

Expansion of ∏_k>=2 (1 + k·x^k). A317913

a(2)=9; thereafter a(n) = smallest number m such that a(n-1)+m = (a(n-1) followed by the leading digit of m). A224760

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nonincreasing x(i,j)-x(i-1,j) in the j direction. A250742

a(0)=0, a(1)=1, a(2)=2; for n >= 3, a(n) = 2·a(n-1)*a(n-2) - a(n-3). A65598