Properties of the Number 38216

Thirty-Eight Thousand Two Hundred Sixteen

Basics

Value: 38215 → 38216 → 38217

Parity: even

Prime: No

Previous Prime: 38201

Next Prime: 38219

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 17 × 281

Divisors: 1, 2, 4, 8, 17, 34, 68, 136, 281, 562

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010101001000

Octal: 112510

Duodecimal: 1A148

Hexadecimal: 9548

Square: 1460462656

Square Root: 195.48913013259843

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 read by rows: T(n,k) is the number of non-equivalent regular polygons with n+1 edges, one of which is rooted, which are dissected by non-intersecting diagonals into k regions, such that two such polygons are identified up to reflection along the rooted edge and twisting along the diagonals that does not affect the root edge (for 1 <= k <= n-1 and n >= 2). A232206

Expansion of 1/(theta₃(q) * theta₃(q²) * theta₃(q³)), where theta₃() is the Jacobi θ function. A320070

Number of (w,x,y,z) with all terms in {1,...,n} and |x-y|<|y-z|. A212681

a(n) = 3·a(n-1) - a(n-2) - 4·a(n-3) + 2·a(n-4) for n >= 4, where a(0) = 2, a(1) = 4, a(2) = 8, a(3) = 16, a(4) = 34, a(5) = 70 . A288170

Expansion of x*(67 +2476·x +38216·x² -124633·x³ +129444·x⁴)/((1-x)*(1+x)*(1-2·x)*(1+3·x)*(1-4·x)*(1-6·x)). A120663

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 405", based on the 5-celled von Neumann neighborhood. A271814

Number of canonical forms for separation coordinates on hyperspheres S_n, ordered by increasing number of independent continuous parameters. A295380

Total number of right-to-left minima in all derangement permutations of [n]. A344455

Triangle whose (i,j)-th entry is binomial(i,j)*2^i-j*10^j. A38216