Properties of the Number 18882

Eighteen Thousand Eight Hundred Eighty-Two

Basics

Value: 18881 → 18882 → 18883

Parity: even

Prime: No

Previous Prime: 18869

Next Prime: 18899

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 1049

Divisors: 1, 2, 3, 6, 9, 18, 1049, 2098, 3147, 6294

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100111000010

Octal: 44702

Duodecimal: AB16

Hexadecimal: 49c2

Square: 356529924

Square Root: 137.41178988718545

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

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,3,0,2,2 for x=0,1,2,3,4. A197561

Irregular table read by rows: Take a nonagon with all diagonals drawn, as in A332421. Then T(n,k) = number of k-sided polygons in that figure for k >= 3. A332427

Row sums of A095167. A95170

Expansion of ∏_n>=1 (1 - x^3·n)/(1 - xⁿ)² in powers of x. A278690

Smallest sets of 7 consecutive abundant numbers in arithmetic progression. The initial abundant number is listed. A228964

Indices of pentagonal pyramidal numbers which are the sum of two other such numbers: k such that A002411(k) = A002411(i)+A002411(j) for some i,j>0. A172437

Number of squarefree palindromes over {0, 1, 2} of length 2n+1. A12212

Closed 3-dimensional ball numbers (version 2): a(n)= number of integer points (i,j,k) contained in a closed ball of diameter n, centered at (1/2,0,0). A53593

Number of possible Fischer Random Chess games at the end of the n-th ply. A157851

Number of nX3 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,3,0,2,2 for x=0,1,2,3,4. A197556