Properties of the Number 15638

Fifteen Thousand Six Hundred Thirty-Eight

Basics

Value: 15637 → 15638 → 15639

Parity: even

Prime: No

Previous Prime: 15629

Next Prime: 15641

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 7 × 1117

Divisors: 1, 2, 7, 14, 1117, 2234, 7819, 15638

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110100010110

Octal: 36426

Duodecimal: 9072

Hexadecimal: 3d16

Square: 244547044

Square Root: 125.05198918849712

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

Eight bishops and one elephant on a 3 X 3 chessboard. G.f.: (1 - x - x²)/(1 - 3·x - x² + 6·x³). A175654

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A299588

Denominators of continued fraction convergents to sqrt(967). A42871

Minimal number (in decimal representation) with n nonprime substrings in base-5 representation (substrings with leading zeros are considered to be nonprime). A217105

Number of nX4 0..1 arrays with every element equal to 1, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A299584

Expansion of e.g.f. 2·exp(sqrt(2·x+1)-1)/(2-sqrt(2·x+1))³. A373176

Number of ordered quadruples of integers from [ 2,n ] with no global factor. A15638