Properties of the Number 85328

Eighty-Five Thousand Three Hundred Twenty-Eight

Basics

Value: 85327 → 85328 → 85329

Parity: even

Prime: No

Previous Prime: 85313

Next Prime: 85331

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 5333

Divisors: 1, 2, 4, 8, 16, 5333, 10666, 21332, 42664, 85328

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110101010000

Octal: 246520

Duodecimal: 41468

Hexadecimal: 14d50

Square: 7280867584

Square Root: 292.1095684841563

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) = ((4+sqrt(2))*(2+sqrt(2))ⁿ + (4-sqrt(2))*(2-sqrt(2))ⁿ)/4. A161941

Total number of parts that are neither the smallest part nor the largest part in all partitions of n. A182977

a(2n) = a(2n-1) + 2a(2n-2), a(2n+1) = a(2n) + a(2n-1), with a(1) = 2 and a(2) = 3. A1882

-a(n)/7! is the coefficient of x⁷ in the Taylor expansion of the k-th iteration of sin(x). A366827

Record values in A085068. A85328

Array read by antidiagonals: D(w,h) is the maximum number of diagonals that can be placed in a w X h grid made up of unit squares when diagonals are placed in the unit squares in such a way that no two diagonals may cross or intersect at an endpoint. A260690