Properties of the Number 17844

Seventeen Thousand Eight Hundred Forty-Four

Basics

Value: 17843 → 17844 → 17845

Parity: even

Prime: No

Previous Prime: 17839

Next Prime: 17851

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 1487

Divisors: 1, 2, 3, 4, 6, 12, 1487, 2974, 4461, 5948

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100010110110100

Octal: 42664

Duodecimal: A3B0

Hexadecimal: 45b4

Square: 318408336

Square Root: 133.58143583597237

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 edges formed by drawing the lines connecting any two of the 2*(n+2) perimeter points of a 3 X (n+1) rectangular grid of points (or equally, a 2 X n grid of squares). A331765

T(n,k) = number of (n+1) X (k+1) 0..2 arrays with every 2 X 2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases in its adjacent leftward and upward neighbors. A206668

Expansion of q * (χ(-q) / χ(-q³))¹² in powers of q where χ() is a Ramanujan θ function. A226235

Square array A(1,k) = A265907(k), A(n>1,k) = A(n-1, k+1) - A(n-1, k); successive differences of A265907 read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ... A275960

Number A(n,k) of partitions of n with k sorts of part 1; square array A(n,k), n>=0, k>=0, read by antidiagonals. A292741

A089450 indexed by A000040. A89525

Partial sums of A334136. A332264

Number of 5 X n binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally. A188556

Transpose of array A275960. A275961

Expansion of ∏_k>0 ((1 - q^2·k)*(1 - q^6·k)³)/((1 - q^k)*(1 - q^3·k)*(1 - q^4·k)*(1 - q^12·k)). A385520