Properties of the Number 16046

Sixteen Thousand Forty-Six

Basics

Value: 16045 → 16046 → 16047

Parity: even

Prime: No

Previous Prime: 16033

Next Prime: 16057

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 71 × 113

Divisors: 1, 2, 71, 113, 142, 226, 8023, 16046

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11111010101110

Octal: 37256

Duodecimal: 9352

Hexadecimal: 3eae

Square: 257474116

Square Root: 126.67280686871986

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

Let p = n-th prime == 3 mod 8; a(n) = (sum of quadratic residues mod p that are < p/2) + (sum of all quadratic residues mod p). A282727

Partitions with subdiagonal growth: number of partitions (p0, p1, p2, ...) of n with π - p0 <= i. A238876

Numbers n such that n!10+1 is prime. A204656

Expansion of (ψ(x) * ψ(x³) / f(-x³)²)² in powers of·where ψ(), f() are Ramanujan θ functions. A263528

Partial sums of A139250. A160424

Expansion of ψ(x³)² * f(-x²)⁴ / f(-x)⁶ in powers of where ψ(), f() are Ramanujan θ function. A259033

Numbers n such that x^n-5*(x+1)⁵+1 is irreducible in F2[x]. A267918

a(n) = a(n-1) + p(n) if p(n) > a(n-1), otherwise a(n) = a(n-1) - p(n), where p is the partition function A000041 (assuming a(n) = 0 for n < 0). A331165

Numbers k such that x^k + x⁵ + 1 is irreducible over GF(2). A57474

Numbers k such that Euler φ(k) / Carmichael λ(k) = 14. A66696