Properties of the Number 81600

Eighty-One Thousand Six Hundred

Basics

Value: 81599 → 81600 → 81601

Parity: even

Prime: No

Previous Prime: 81569

Next Prime: 81611

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁶ × 3 × 5 ² × 17

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111011000000

Octal: 237300

Duodecimal: 3B280

Hexadecimal: 13ec0

Square: 6658560000

Square Root: 285.657137141714

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

Trajectory of 318 under the Reverse and Add! operation carried out in base 4, written in base 10. A75153

Triangle of coefficients of n!*(1 - x)ⁿ*L_n(x/(1 - x)), where L_n(x) is the Laguerre polynomial. A123202

Number of 2 X 2 non-singular integer matrices with entries from {0,...,n}. A62801

a(n) = n²*(n+1)²*(n+2)/12. A4302

a(n) = floor(n/2) * floor((n-1)/2) * floor((n-2)/2) * floor((n-3)/2) * floor((n-4)/2) / 12. A28725

Dot product of the squares and the quarter-squares: a(n) = sum(i=1..n, i² * floor(i²/4)). A60453

Number of edges in a regular 2n-gon when all vertices are connect by straight lines except for the n lines joining diametrically opposite vertices. A368815

Expansion of (theta₃(z)*theta₃(15z) + theta₂(z)*theta₂(15z))⁴. A28628

Related to octo-factorial numbers A045755. A34996

Numbers with prime factorization pqr^2s^6. A190474