Properties of the Number 10027

Ten Thousand Twenty-Seven

Basics

Value: 10026 → 10027 → 10028

Parity: odd

Prime: No

Previous Prime: 10009

Next Prime: 10037

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 37 × 271

Divisors: 1, 37, 271, 10027

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100101011

Octal: 23453

Duodecimal: 5977

Hexadecimal: 272b

Square: 100540729

Square Root: 100.13490899781155

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

17-gonal (or heptadecagonal) numbers: a(n) = n*(15·n-13)/2. A51869

Expansion of x*(1+x)/(1-x²-2·x³). A159284

Numerator of ∑_k=1..n 1/φ(k). A28415

The maximum number of coins that can be processed in n weighings that all are real except for one LHR-coin starting in the heavy state. A279674

Expansion of (1-x)/(1-x²+2·x³). A78028

Divisors of 10¹⁵ - 1. A111117

Lengths of runs of identical terms in A253443. A253444

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 446", based on the 5-celled von Neumann neighborhood. A282264

Relative of Hofstadter Q-sequence: a(n) = max(0, n+10000) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) + a(n-a(n-4)) for n > 0. A283889

Relative of Hofstadter Q-sequence: a(n) = max(0, n+10001) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) + a(n-a(n-4)) for n > 0. A283890