Properties of the Number 20798

Twenty Thousand Seven Hundred Ninety-Eight

Basics

Value: 20797 → 20798 → 20799

Parity: even

Prime: No

Previous Prime: 20789

Next Prime: 20807

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 10399

Divisors: 1, 2, 10399, 20798

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000100111110

Octal: 50476

Duodecimal: 10052

Hexadecimal: 513e

Square: 432556804

Square Root: 144.215117099422

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

Number of partitions of n such that the multiplicity of the greatest part is a part. A240494

Binary widths of the terms of A072638. A72641

Triangle read by rows: T(n,k) is the number of Schroeder paths of length 2n having exactly k down steps hitting the x-axis. A101275

Number of partitions of n² into powers of 2. A196880

Table which contains in row n the mapping of the n-th block of 4 primes to 4 integers. A162156

Number of 3-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions. A187858

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 557", based on the 5-celled von Neumann neighborhood. A272926

Expansion of g.f. A(x) satisfying 1 = ∑_n>=0 (-x)ⁿ * A(x)ⁿ / ∏_k=1..n+1 (1 + (-x)^k). A363307

Integers k such that the sum of the first k noncubes is a square. A373767

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