Properties of the Number 67818

Sixty-Seven Thousand Eight Hundred Eighteen

Basics

Value: 67817 → 67818 → 67819

Parity: even

Prime: No

Previous Prime: 67807

Next Prime: 67819

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 89 × 127

Divisors: 1, 2, 3, 6, 89, 127, 178, 254, 267, 381

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000100011101010

Octal: 204352

Duodecimal: 332B6

Hexadecimal: 108ea

Square: 4599281124

Square Root: 260.41889332381396

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 integer compositions of n whose leaders of maximal strictly increasing runs sum to 2. A374705

Number of (n+2) X 4 binary arrays avoiding patterns 000 and 011 in rows, columns and nw-to-se diagonals. A202771

Fourth right hand column (n-m=3) of the A156920 triangle. A156923

T(n,k) = Number of (n+2) X (k+2) binary arrays avoiding patterns 000 and 011 in rows, columns and nw-to-se diagonals. A202777

Number of permutations of [n] with exactly 3 increasing runs of length at least 2. A507

A column and diagonal of A060187 (k=4). A60190

The records for distance squared for step lengths between adjacent composite numbers in A332767, the visited composite numbers for a walk stepping to the closest unvisited composite number on the 2D square (Ulam) spiral. A330782

Start with 1. To get a(n+1), describe a(n) in terms of the number of 0's, 1's, 2's,...,9's it has. Do not ignore leading 0's in the computation, but ignore them when listing the terms. A67818