Properties of the Number 15808

Fifteen Thousand Eight Hundred Eight

Basics

Value: 15807 → 15808 → 15809

Parity: even

Prime: No

Previous Prime: 15803

Next Prime: 15809

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁶ × 13 × 19

Divisors: 1, 2, 4, 8, 13, 16, 19, 26, 32, 38

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110111000000

Octal: 36700

Duodecimal: 9194

Hexadecimal: 3dc0

Square: 249892864

Square Root: 125.72986916401369

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 binary bit strings of length n with no block of 8 or more 0's. Nonzero heptanacci numbers, A122189. A66178

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having pyramid weight k. A91866

Heptanacci numbers: each term is the sum of the preceding 7 terms, with a(0),...,a(6) = 0,0,0,0,0,0,1. A122189

Heinz numbers of integer partitions with as many even parts as odd conjugate parts and as many odd parts as even conjugate parts. A351980

Half the number of permutations of 0..n with exactly two maxima. A100575

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. A283726

1 + ∑_{n >= 1} ∑_{k = 0..n-1} (-1)ⁿ*T(n,k)*y^2·k*x^2·n/(2·n)! = JacobiCN(x,y). A60627

Lower triangular matrix T, read by rows, such that T(n,0) = 1 and T(n,k) = T(n-1,k) + T²(n-1,k-1) for k>0, where T² is the matrix square of T. A97712

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors, with the exception of exactly one element. A283203

Triangle of Stirling numbers of order 4. A59023