Properties of the Number 80757

Eighty Thousand Seven Hundred Fifty-Seven

Basics

Value: 80756 → 80757 → 80758

Parity: odd

Prime: No

Previous Prime: 80749

Next Prime: 80761

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 997

Divisors: 1, 3, 9, 27, 81, 997, 2991, 8973, 26919, 80757

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011101101110101

Octal: 235565

Duodecimal: 3A899

Hexadecimal: 13b75

Square: 6521693049

Square Root: 284.17776126924497

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) = (n⁵ - 5·n⁴ + 5·n³ + 5·n² + 114·n + 120)/120. A161701

T(n,k) = number of defective 3-colorings of an n X k 0..2 array connected horizontally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order. A229694

Total number of configurations that appear in the cycles, in the glass worms (or vers de verres) game with n glasses. A176336

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2), where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A294550

Number of defective 3-colorings of an nX4 0..2 array connected horizontally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order. A229690

Number of defective 3-colorings of a 2Xn 0..2 array connected horizontally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order. A229695

Number of defective 3-colorings of a 4 X n 0..2 array connected horizontally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order. A229697

Number of defective 3-colorings of an n X n 0..2 array connected horizontally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order. A229688

First differences of Beatty sequence A022838(n) = floor(n sqrt(3)). A80757