Properties of the Number 42809

Forty-Two Thousand Eight Hundred Nine

Basics

Value: 42808 → 42809 → 42810

Parity: odd

Prime: No

Previous Prime: 42797

Next Prime: 42821

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 13 × 37 × 89

Divisors: 1, 13, 37, 89, 481, 1157, 3293, 42809

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011100111001

Octal: 123471

Duodecimal: 20935

Hexadecimal: a739

Square: 1832610481

Square Root: 206.90335908341362

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 subsets of {1..n} with all distinct lengths of maximal anti-runs (increasing by more than 1). A384177

a(n) = 3 + floor((2 + ∑_j=1..n-1 a(j))/3). A120150

Number of nonnegative integer arrays of length n+3 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value 2. A211842

Number of 6 X n 0..2 arrays with no element equal to the sum of elements to its left or one plus the sum of the elements above it, modulo 3. A239033

T(n,k)=Number of nXk 0..2 arrays with no element equal to the sum of elements to its left or one plus the sum of the elements above it, modulo 3. A239030

Number of ways to place 8n nonattacking kings on a 16·2n chessboard. A174558

Denominators of continued fraction convergents to sqrt(935). A42809

Table read by antidiagonals: T(b,n) is the number of n-step self avoiding walks on a 2D square grid confined inside an infinite well of width 2b where the walk starts at the middle of the well bottom. A336863

Table read by antidiagonals: T(b,n) is the number of n-step self avoiding walks on a 2D square grid confined inside a square box of dimension 2b X 2b where the walk starts at the middle of one of the box's edges. A336872