Properties of the Number 85536

Eighty-Five Thousand Five Hundred Thirty-Six

Basics

Value: 85535 → 85536 → 85537

Parity: even

Prime: No

Previous Prime: 85531

Next Prime: 85549

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ⁵ × 11

Divisors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111000100000

Octal: 247040

Duodecimal: 41600

Hexadecimal: 14e20

Square: 7316407296

Square Root: 292.46538256689456

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

a(n) = ∑_k=0..2n (k+1) * A026519(n, k). A27266

Heinz numbers of Look-and-Say partitions without distinct multiplicities (non Wilf). A384006

Numbers of the form (6ⁱ)*(11^j), with i, j >= 0. A108698

a(n) = 6ⁿ*Lucas(n), where Lucas = A000204. A127213

Numbers which can be expressed as the product of numbers made of only sixs. A161144

Numbers that have exactly two exponents in their prime factorization that are equal to 5. A386809

McKay-Thompson series of class 9b for the Monster group. A112146

Number of ways to place 5 nonattacking queens on an n X n toroidal board. A173775

Expansion of 1/sqrt(1-12x-12x²). A106259

a(n) = (2·n + 1)*6ⁿ. A199299