Properties of the Number 68783

Sixty-Eight Thousand Seven Hundred Eighty-Three

Basics

Value: 68782 → 68783 → 68784

Parity: odd

Prime: No

Previous Prime: 68777

Next Prime: 68791

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 11 × 13 ² × 37

Divisors: 1, 11, 13, 37, 143, 169, 407, 481, 1859, 5291

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000110010101111

Octal: 206257

Duodecimal: 3397B

Hexadecimal: 10caf

Square: 4731101089

Square Root: 262.2651330238162

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) = ∑_k=0..n floor(sqrt(k))⁵. A363499

a(n) = (3n - 9/2 - 1/n + 6/(n+1))*binomial(2n-2,n-1). A344717

Growth series for affine Coxeter group B₅. A267168

sqrt(a(n)) / 4 is the maximum area of any triangle with integer side lengths whose perimeter is n, or a(n) = -1 if there is no such triangle. A387833

Molien series for symmetrized weight enumerators of doubly-even Euclidean self-dual codes over the Galois ring GR(4,2). A99752

Multiples of 5291. A178027

Lesser of two consecutive numbers each divisible by a fifth power. A68783