Properties of the Number 85567

Eighty-Five Thousand Five Hundred Sixty-Seven

Basics

Value: 85566 → 85567 → 85568

Parity: odd

Prime: No

Previous Prime: 85549

Next Prime: 85571

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 41 × 2087

Divisors: 1, 41, 2087, 85567

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111000111111

Octal: 247077

Duodecimal: 41627

Hexadecimal: 14e3f

Square: 7321711489

Square Root: 292.51837549118176

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 times when an even number is encountered, when going from 2ⁿ⁺¹-1 to (2ⁿ)-1 using the iterative process described in A071542. A218542

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A240260

Number of n X 4 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A240258

Number of 4Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A240263

Least m such that the average number of divisors of all integers from 1 to m equals n, or 0 if no such number exists. A85567