Properties of the Number 80838

Eighty Thousand Eight Hundred Thirty-Eight

Basics

Value: 80837 → 80838 → 80839

Parity: even

Prime: No

Previous Prime: 80833

Next Prime: 80849

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁴ × 499

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011101111000110

Octal: 235706

Duodecimal: 3A946

Hexadecimal: 13bc6

Square: 6534782244

Square Root: 284.3202419807637

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

Number of partial functions f:{1,2,...,n}->{1,2,...,n} such that every element in the domain of definition of f is mapped to a fixed point or to an element that is undefined by f. A275707

Triangle T(n,k) read by rows: number of height-2-restricted finite functions. A187105

Number of -2..2 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^t+u+v) having two, four or five distinct values for every i,j,k<=n. A211569

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Fibonacci numbers), t = A000201 (lower Wythoff sequence). A25084

Orchard crossing number of complete bipartite graph K_1,n. A80838

G.f. A(x) satisfies (1 + 9·x*A(x)³/A(x⁹)³)³ = 1 + 27·x*A(x)⁶/A(x³)⁶. A376529

Square array read by antidiagonals, where the n-th row is the coordination sequence of a certain tiling with an n-dimensional analog of the X pentomino (or Greek cross), n >= 1. A383338