Properties of the Number 85065

Eighty-Five Thousand Sixty-Five

Basics

Value: 85064 → 85065 → 85066

Parity: odd

Prime: No

Previous Prime: 85061

Next Prime: 85081

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 53 × 107

Divisors: 1, 3, 5, 15, 53, 107, 159, 265, 321, 535

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110001001001

Octal: 246111

Duodecimal: 41289

Hexadecimal: 14c49

Square: 7236054225

Square Root: 291.65904751953093

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

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0 or 2 neighboring 1s. A297338

Number of integer compositions of n whose parts have weakly decreasing numbers of prime factors (with multiplicity). A358335

Number of n-node rooted identity trees of height at most 5. A38084

a(n) = A027082(n, n+4). A27086

a(n) = 4·a(n-1) - a(n-2) + 3 with a(0)=1, a(1)=7. A55269

Number of n X 4 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0 or 2 neighboring 1s. A297334

Number of 6 X n 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0 or 2 neighboring 1's. A297343

Coefficient of xⁿ in the expansion of 1 / ( (1-x) * (1-x+x³)² )ⁿ. A372463

a(1) = 4, a(n) = smallest number of the form k·a(n-1) +1 with the same prime signature p², where p is a prime. A85065