Properties of the Number 20837

Twenty Thousand Eight Hundred Thirty-Seven

Basics

Value: 20836 → 20837 → 20838

Parity: odd

Prime: No

Previous Prime: 20809

Next Prime: 20849

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 67 × 311

Divisors: 1, 67, 311, 20837

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000101100101

Octal: 50545

Duodecimal: 10085

Hexadecimal: 5165

Square: 434180569

Square Root: 144.35026844450272

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

Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 24. A51965

Relative of Hofstadter Q-sequence: a(n) = max(0, n+20830) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A283887

Semiprimes generated by the polynomial 2·n² + 29. A241554

Composite numbers of the form 2·k² + 29. A352949

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (-1, 1, 1), (1, -1, 0), (1, 0, -1), (1, 1, 0)}. A149481

Decimal expansion of 1/sqrt(80) = sqrt(5)/20. A20837

G.f.: A(x) = x/Series_Reversion(x·G(x)) where G(x) = ∑_n>=0 (n+1)^n-1*xⁿ. A180747

Starting term of the smallest n-chain of numbers whose squares are permutations of the same digits. A85546