Properties of the Number 82212

Eighty-Two Thousand Two Hundred Twelve

Basics

Value: 82211 → 82212 → 82213

Parity: even

Prime: No

Previous Prime: 82207

Next Prime: 82217

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 13 × 17 × 31

Divisors: 1, 2, 3, 4, 6, 12, 13, 17, 26, 31

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000100100100

Octal: 240444

Duodecimal: 3B6B0

Hexadecimal: 14124

Square: 6758812944

Square Root: 286.72635037610337

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) = binomial(n+6,6)*(2n+7)/7. A50486

Susceptibility series H₃ for 2-dimensional Ising model (divided by 2). A54410

Number of sets of distinct positive integers whose sum of squares is a square, the largest integer of a set is n. A339612

Number of jumps in all binary trees with n edges. A127531

Convolution square of A058187, the tetrahedral series with repeats. A178440

Expansion of ∑_{1<=i<=j<=k<=l} q^i+j+k+l/( (1-qⁱ)*(1-q^j)*(1-q^k)*(1-q^l) )². A374931

Even numbers to the right of the central numbers of the (1,2)-Pascal triangle A029635. A29643

Coefficient table for the minimal polynomials of s(2·l+1)² = (2·sin(π/(2·l+1)))². A232632

Cube roots pertaining to A082211. A82212

Number of nX4 0..3 arrays with some element plus some horizontally, antidiagonally or vertically adjacent neighbor totalling three no more than once. A269139