Properties of the Number 16727

Sixteen Thousand Seven Hundred Twenty-Seven

Basics

Value: 16726 → 16727 → 16728

Parity: odd

Prime: No

Previous Prime: 16703

Next Prime: 16729

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 43 × 389

Divisors: 1, 43, 389, 16727

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000101010111

Octal: 40527

Duodecimal: 981B

Hexadecimal: 4157

Square: 279792529

Square Root: 129.3329037793554

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) = number of steps to reach 0 when starting from k = n³ and repeatedly applying the map that replaces k with k - A055401(k), where A055401(k) = the number of positive cubes needed to sum to k using the greedy algorithm. A261227

Triangle read by rows: T(n,k) is the number of labeled monoids of order n with k idempotents and a fixed identity. A58158

Triangle read by rows: T(n,k) = number of labeled semigroups of order n with k idempotents. A58166

Number of labeled idempotent semigroups of order n. A351730

a(1)=2; thereafter, a(n) is the smallest number not occurring earlier such that Kronecker(a(k), a(n)) = -1 for the next n indices k = n+1, n+2, ..., 2n. A249692

Numbers of the form 7^x + y⁷ with x, y >= 0. A250715

Expansion of x/( 1+x-x²-x⁴-x⁵-x⁶-x⁷+x⁹+x¹⁰ ). A142155

Numbers of the form 4^j + 7^k, for j and k >= 0. A226817

Composite numbers k such that 2^k == 1 (mod cototient(k)). A291619

Number of inequivalent solutions to x²+y²+z² = n². A16727