Properties of the Number 16219

Sixteen Thousand Two Hundred Nineteen

Basics

Value: 16218 → 16219 → 16220

Parity: odd

Prime: No

Previous Prime: 16217

Next Prime: 16223

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 ² × 331

Divisors: 1, 7, 49, 331, 2317, 16219

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111101011011

Octal: 37533

Duodecimal: 9477

Hexadecimal: 3f5b

Square: 263055961

Square Root: 127.35383779062177

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) = ∑_k=1..n binomial(floor(n/k)+2,3). A364970

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) + n + 1, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A294556

Numerators of continued fraction convergents to sqrt(804). A42550

Number of (w,x,y,z) with all terms in {1,...,n} and w²>x·y*z. A212066

Numerators of the convergents given by treating A072193 as continued fraction coefficients after the leading 0. A391714

Pseudoprimes to base 31. A20159

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-2) + n, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A293349

Expansion of the o.g.f. A(x) defined by [xⁿ] A(x)^6·n = (3·n)!/n!³ for n >= 0. A377217

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 31 ones. A31799

Composite numbers k such that the sum of the proper divisors of k not including 1, (Chowla's function, A048050) and their product (A007956) are both perfect squares. A64180