Properties of the Number 82488

Eighty-Two Thousand Four Hundred Eighty-Eight

Basics

Value: 82487 → 82488 → 82489

Parity: even

Prime: No

Previous Prime: 82487

Next Prime: 82493

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 7 × 491

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001000111000

Octal: 241070

Duodecimal: 3B8A0

Hexadecimal: 14238

Square: 6804270144

Square Root: 287.2072422485199

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) = ∑_i=1..n binomial(i+1,2)³. A85438

Number T(n,k) of ordered set partitions of [n] into k blocks such that equal-sized blocks are ordered with increasing least elements; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A285824

Place n equally spaced points on each side of an equilateral triangle, and join each of these points by a chord to the 2·n new points on the other two sides: sequence gives number of vertices in the resulting planar graph. A366483

Number of ordered set partitions of [n] into four blocks such that equal-sized blocks are ordered with increasing least elements. A285919

Least hairpin family matchings with n edges that are both L&P and C&C whose leftmost edge is part of a hairpin. A284968

a(n) = ∑_{k = 0..n} C(n,k) * C(n+k,k) * C(n+2·k,k) * C(n+3·k,k). A82488

Number of length n+6 0..3 arrays with at most two downsteps in every 6 consecutive neighbor pairs. A255658