Properties of the Number 17818

Seventeen Thousand Eight Hundred Eighteen

Basics

Value: 17817 → 17818 → 17819

Parity: even

Prime: No

Previous Prime: 17807

Next Prime: 17827

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 59 × 151

Divisors: 1, 2, 59, 118, 151, 302, 8909, 17818

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010110011010

Octal: 42632

Duodecimal: A38A

Hexadecimal: 459a

Square: 317481124

Square Root: 133.48408144793896

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

The 4-Schroeder numbers: a(n) = number of lattice paths (Schroeder paths) from (0,0) to (3n,n) with unit steps N=(0,1), E=(1,0) and D=(1,1) staying weakly above the line y = 3x. A144097

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0ⁿ and T(n,k) = k * ∑_r=0..n binomial(n,r) * binomial(3·n+r+k,n)/(3·n+r+k) for k > 0. A378238

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = ∑_j=0..n binomial(n,j) * binomial(k·n+j+1,n)/(k·n+j+1). A336534

The smallest magic constant for n X n magic square with prime entries (regarding 1 as a prime). A73502

Integers which can be written in exactly three ways as sum of two distinct nonzero pentagonal numbers. A333013

Let M(n) be the n X n matrix m(i,j)=min(i,j) for 1<=i,j<=n then a(n) is the trace of M(n)^-6. A114358

a(n) = ∑_k=1..n (-1)^k+1 * floor(n/(2·k-1))^k. A350167

Number of planar partitions of n where parts decrease by at most 1 along each row and column. A392511

Triangle T(n,k) for A(x)^k=sum(n>=k T(n,k)*xⁿ), where o.g.f. A(x) satisfies A(x)=(1+x·A(x)³)/(1-x·A(x)³). A187920

Number of (n+1)X(n+1) -6..6 symmetric matrices with every 2X2 subblock having sum zero and two or three distinct values. A211256