Properties of the Number 16800

Sixteen Thousand Eight Hundred

Basics

Value: 16799 → 16800 → 16801

Parity: even

Prime: No

Previous Prime: 16787

Next Prime: 16811

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 ² × 7

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 100000110100000

Octal: 40640

Duodecimal: 9880

Hexadecimal: 41a0

Square: 282240000

Square Root: 129.6148139681572

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

Triangle of numbers T(n,k) = k!*Stirling2(n,k) read by rows (n >= 1, 1 <= k <= n). A19538

Triangle of numbers T(n,k) = k!*Stirling2(n,k) = A000142(k)*A048993(n,k) read by rows, T(n, k) for 0 <= k <= n. A131689

Expansion of 1/((1+x)*(1-x)⁵). A1752

Table T(n,k) by antidiagonals. T(n,k) is the number of length n primitive (=aperiodic or period n) k-ary words (n,k >= 1). A143324

a(n) = ∏_k=1..n binomial(2·k,k). A7685

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n, having k ddu's [here u = (1,1) and d = (1,-1)]. A91894

Longest edge a of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a² + b²), sqrt(b² + c²), sqrt(a² + c²) are integers). A31173

T(n, k) = ∑_j=0..n-k (-1)^j*binomial(n - k + 1, j)*(n - k + 1 - j)ⁿ. Triangle read by rows, T(n, k) for 1 <= k <= n. A90582

Numbers with exactly 4 distinct prime divisors {2,3,5,7}. A147571

Number T(n,k) of n-length words w over a k-ary alphabet {a1, a2, ..., ak} such that #(w,a1) >= #(w,a2) >= ... >= #(w,ak) >= 1, where #(w,x) counts the letters·in word w; triangle T(n,k), n >= 0, 0 <= k <= n, read by rows. A226874