Properties of the Number 16496

Sixteen Thousand Four Hundred Ninety-Six

Basics

Value: 16495 → 16496 → 16497

Parity: even

Prime: No

Previous Prime: 16493

Next Prime: 16519

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 1031

Divisors: 1, 2, 4, 8, 16, 1031, 2062, 4124, 8248, 16496

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000001110000

Octal: 40160

Duodecimal: 9668

Hexadecimal: 4070

Square: 272118016

Square Root: 128.43675486401858

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) = A289676(3·n+1). A290436

G.f.: ∏_n>=1 1/(1 - xⁿ/n³) = ∑_n>=0 a(n)*xⁿ/n!³. A249593

Number of zero trace primitive elements in Galois field GF(2ⁿ). A192211

T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero. A230840

a(n) = A289670(n)/2^f(n), where f(n) = 2·floor((n-1)/3) + ((n+2) mod 3). A289676

Number of even-length strict integer partitions of 2n+1. A343942

Expansion of g.f. 1/((1-4·x)*(1-10·x)). A16157

Structured octagonal anti-diamond numbers (vertex structure 7). A100187

a(n) = p(1,n), where p(x,n) is the strong divisibility sequence of polynomials based on sqrt(5) as in A327322. A329012

Trajectory of 48 under the map x -> A289667(x). A290350