Properties of the Number 85288

Eighty-Five Thousand Two Hundred Eighty-Eight

Basics

Value: 85287 → 85288 → 85289

Parity: even

Prime: No

Previous Prime: 85259

Next Prime: 85297

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 7 × 1523

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 1523, 3046

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100110100101000

Octal: 246450

Duodecimal: 41434

Hexadecimal: 14d28

Square: 7274042944

Square Root: 292.0410929989134

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..2 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions). A231855

Triangle related to the o.g.f.s. of the right hand columns of A163934 (E(x,m=4,n)). A163939

Number of nX5 0..2 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions). A231852

Number of 3Xn 0..2 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions). A231857

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 1, 1), (0, 1, 1), (1, -1, 1), (1, 0, 1), (1, 1, -1)}. A150900

Number of sorted multiplicative partitions of n!. A85288

Number of n X 4 0..1 arrays with no 1 equal to more than two of its king-move neighbors, with the exception of exactly one element. A282556