Properties of the Number 15730

Fifteen Thousand Seven Hundred Thirty

Basics

Value: 15729 → 15730 → 15731

Parity: even

Prime: No

Previous Prime: 15727

Next Prime: 15731

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 5 × 11 ² × 13

Divisors: 1, 2, 5, 10, 11, 13, 22, 26, 55, 65

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11110101110010

Octal: 36562

Duodecimal: 912A

Hexadecimal: 3d72

Square: 247432900

Square Root: 125.41929676090518

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

a(n) = binomial(n,3)*binomial(n-1,3)/4. A6542

Coefficients in expansion of ∑_{n >= 1} xⁿ/(1-xⁿ)⁴. A59358

Triangle read by rows: T(n, k) = c(n, q)/(c(k, q)*c(n-k, q)), where c(n, q) = ∏_j=1..n (j+q)!/(j-1)! and q = 8. A174109

Number A(n,k) of Dyck paths of semilength n having exactly ten (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of k, where 1=U=(1,1) and 0=D=(1,-1); square array A(n,k), n>=0, k>=0, read by antidiagonals. A243836

Growth series for affine Coxeter group (or affine Weyl group) D₄. A266759

Tenth column (and diagonal) of Narayana triangle A001263. A134291

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically. A253456

a(n) = 2*(n+1)*binomial(n+3,4). A27789

Numbers k such that k+1, k+3, k+7 and k+9 are all primes. A125855

Triangle T(n,k) (n >= k >= 0) read by rows: T(n,0) = (1+(-1)ⁿ)/2; for k>=1, set T(0,k) = 0, S(n,k) = binomial(n,k)*binomial(n+k+1,k), and for n>=1, T(n,k) = S(n,k)-T(n-1,k). A331432