Properties of the Number 85216

Eighty-Five Thousand Two Hundred Sixteen

Basics

Value: 85215 → 85216 → 85217

Parity: even

Prime: No

Previous Prime: 85213

Next Prime: 85223

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 2663

Divisors: 1, 2, 4, 8, 16, 32, 2663, 5326, 10652, 21304

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110011100000

Octal: 246340

Duodecimal: 41394

Hexadecimal: 14ce0

Square: 7261766656

Square Root: 291.917796648303

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) is the n-th order Taylor polynomial (centered at 0) of c(x)^2·n evaluated at x = 1, where c(x) = (1 - sqrt(1 - 4·x))/(2·x) is the o.g.f. of the Catalan numbers A000108. A333094

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 0), (0, 0, -1), (1, 1, 1)}. A149424

The second Zagreb index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.2). A292345

Numbers equal to a permutation (or rearrangement) of the digits of the sum of their proper divisors (excluding the proper divisor 1). Rearrangements which cause leading zeros are excluded. A86248

Transpose of A085215. A85216