Properties of the Number 16816

Sixteen Thousand Eight Hundred Sixteen

Basics

Value: 16815 → 16816 → 16817

Parity: even

Prime: No

Previous Prime: 16811

Next Prime: 16823

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 1051

Divisors: 1, 2, 4, 8, 16, 1051, 2102, 4204, 8408, 16816

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000110110000

Octal: 40660

Duodecimal: 9894

Hexadecimal: 41b0

Square: 282777856

Square Root: 129.6765206195786

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(1) = 1, a(n) = number obtained by replacing each digit of a(n-1) with its double. A61581

Expansion of ∏_k=1..9 theta₃(q^k), where theta₃() is the Jacobi θ function. A320241

a(n) is the number of vertices formed by n-secting the angles of an octagon. A335770

Third Lie-Betti number of a path graph on n vertices. A361230

Number of semi-regular digraphs (with loops) on n unlabeled nodes with each node having out-degree 2. A3286

Numbers of the form a^b + c^d where a, b, c and d are the first 4 primes. A168349

Numbers of the form 3^j + 7^k, for j and k >= 0. A226816

Numbers of the form 7^j + 9^k, for j and k >= 0. A226831

Triangle read by rows: T(n,k) is the number of semi-regular relations on n nodes with each node having out-degree k (0 <= k <= n). A259471

a(n) = ∑_k=0..n (-1)^k+1 * k·A000041(n-k). A270143