Properties of the Number 20773

Twenty Thousand Seven Hundred Seventy-Three

Basics

Value: 20772 → 20773 → 20774

Parity: odd

Prime: Yes

Previous Prime: 20771

Next Prime: 20789

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 20773

Divisors: 1, 20773

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000100100101

Octal: 50445

Duodecimal: 10031

Hexadecimal: 5125

Square: 431517529

Square Root: 144.12841496387864

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

The number of different classes of 2-dimensional convex lattice polytopes having volume n/2 up to unimodular equivalence. A187015

Prime numbers that have a triangular Voronoi cell in the Voronoi diagram of the Ulam prime spiral. A257527

Prime time primes on 6-digit clocks, second definition: primes of the form HMMSS where H, MM, SS are primes, H < 24, MM and SS < 60. A295013

Sums of 7 distinct powers of 3. A38469

Triangle read by rows: Polynomial coefficients per comment. A290053

Bessel function Y₀(n) is a monotonically decreasing positive sequence. A46961

Ulam's spiral (WNW spoke). A143859

a(n) = (1/5760)*(n + 5)*(15·n⁷ + 225·n⁶ + 1265·n⁵ + 3707·n⁴ + 7120·n³ + 4900·n² - 6480·n + 27648). A290127

G.f.: ∑_n>=0 (n+1)*(n+2)*(n+3)/3! * (x + xⁿ)ⁿ. A325999

Let N(p,i) denote the result of applying "nextprime" i times to p; a(n) = smallest prime p such that N(p,4) - p = 2·n, or -1 if no such prime exists. A339944