Properties of the Number 80003

Eighty Thousand Three

Basics

Value: 80002 → 80003 → 80004

Parity: odd

Prime: No

Previous Prime: 79999

Next Prime: 80021

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 7 × 11 × 1039

Divisors: 1, 7, 11, 77, 1039, 7273, 11429, 80003

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10011100010000011

Octal: 234203

Duodecimal: 3A36B

Hexadecimal: 13883

Square: 6400480009

Square Root: 282.8480157257604

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

Expansion of ∏_k>=1 (1 + x^k)^φ(k), where φ() is the Euler totient function (A000010). A299069

Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 2 (mod 3). A35539

A035539 with periodic zeros stripped. A35593

Number of trees on n labeled nodes: n^n-2 with a(0)=1. A272

a(n) = ∑_k=3..n (k-1)!*C(n,k)/2. A2807

Number of cyclic arrangements of S={1,2,...,n} such that the difference between any two neighbors is at least 2. A242522

Number of cycles in the complement of a path. A6184

a(n) = (n+1)*a(n-1) + (2-n)*a(n-2). A6183

Number of ways to label the cells of a 2 X n grid such that no (orthogonally) adjacent cells have adjacent labels. A229430

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=2, r=3, I={1,2}. A80003