Properties of the Number 85701

Eighty-Five Thousand Seven Hundred One

Basics

Value: 85700 → 85701 → 85702

Parity: odd

Prime: No

Previous Prime: 85691

Next Prime: 85703

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 ² × 11 × 53

Divisors: 1, 3, 7, 11, 21, 33, 49, 53, 77, 147

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111011000101

Octal: 247305

Duodecimal: 41719

Hexadecimal: 14ec5

Square: 7344661401

Square Root: 292.7473313285708

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 odd-length integer partitions of n whose parts do not have the same mean as median. A359896

a(n) = 1 + (n-1) + (n-2)*[(n-3)/2] + (n-3)*[(n-4)/2]*[(n-5)/3] + (n-4)*[(n-5)/2]*[(n-6)/3]*[(n-7)/4] +... where [x] = floor(x), with summation extending over the initial [n/2+1] products only. A207644

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 902", based on the 5-celled von Neumann neighborhood. A284358

Partial sums of cupolar numbers (1/3)*(n+1)*(5·n²+7·n+3) (A096000). A117066

Number of integer-sided hexagons having perimeter n. A124286

Smallest multiple of n such that a(n) + a(n-1) is a squarefree number. A85701