Properties of the Number 51822

Fifty-One Thousand Eight Hundred Twenty-Two

Basics

Value: 51821 → 51822 → 51823

Parity: even

Prime: No

Previous Prime: 51817

Next Prime: 51827

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 2879

Divisors: 1, 2, 3, 6, 9, 18, 2879, 5758, 8637, 17274

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101001101110

Octal: 145156

Duodecimal: 25BA6

Hexadecimal: ca6e

Square: 2685519684

Square Root: 227.64445962948452

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

Binomial transform of Catalan numbers. A7317

Triangle read by rows: row n is the first row of the matrix M[n]^n-1, where M[n] is the n X n tridiagonal matrix with main diagonal (2,3,3,...) and super- and subdiagonals (1,1,1,...). A124733

Least nondecreasing sequence with a(1) = 1 and Hankel transform {1,1,1,1,...}. A55879

Number of integer compositions of n whose leaders of maximal weakly increasing runs are not weakly decreasing. A374636

Expansion of ∏_k>=1 (1 + x^k)^sigma₂(k). A288414

Triangle T read by rows: matrix product of Pascal and Catalan triangle. A104259

Sum array of Catalan numbers (A000108) read by upward antidiagonals. A106534

Number of branching factorizations of the least integer of each prime signature (A025487). A366884

G.f.: (1/2)*(3 - sqrt((1-5·x)/(1-x))). A181768

Inverse of Fibonacci convolution array A154929. A154930