Properties of the Number 17727

Seventeen Thousand Seven Hundred Twenty-Seven

Basics

Value: 17726 → 17727 → 17728

Parity: odd

Prime: No

Previous Prime: 17713

Next Prime: 17729

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 19 × 311

Divisors: 1, 3, 19, 57, 311, 933, 5909, 17727

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010100111111

Octal: 42477

Duodecimal: A313

Hexadecimal: 453f

Square: 314246529

Square Root: 133.142780502737

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) = 3·a(n-1) + 5·a(n-2), with a(0)=0, a(1)=1. A15523

Numbers k such that A361338(k) = 10. A361349

a(n) = 49·n² + 2·n. A157365

Sum of numbers in the n-th antidiagonal of the reciprocity array of 0. A259574

Number of partitions of n with rank congruent to 1 mod 3. A328989

Least term in period of continued fraction for sqrt(n) is 7. A31431

Number of n X n symmetric 0..3 arrays with each element equal to at least two horizontal or vertical neighbors and with new values 0..3 introduced in lower triangular row major order. A192997

Binomial coefficients C(n,63). A17727