Properties of the Number 40898

Forty Thousand Eight Hundred Ninety-Eight

Basics

Value: 40897 → 40898 → 40899

Parity: even

Prime: No

Previous Prime: 40897

Next Prime: 40903

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 × 11 ² × 13 ²

Divisors: 1, 2, 11, 13, 22, 26, 121, 143, 169, 242

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111111000010

Octal: 117702

Duodecimal: 1B802

Hexadecimal: 9fc2

Square: 1672646404

Square Root: 202.2325394193526

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

a(n) = C(n)*C(n+2) - C(n+1)² where C() are the Catalan numbers A000108. A5700

Upper triangle of Catalan Number Wall. A78920

Array read by ascending antidiagonals: A(n,k) is the determinant of the n-th order Hankel matrix of Catalan numbers M(n) whose generic element is given by M(i,j) = A000108(i+j+k) with i,j = 0, ..., n-1. A368025

Triangle read by rows, giving Kekulé numbers for certain benzenoids (see the Cyvin-Gutman book for details). A123352

Triangle read by rows: Table III.5 of Myriam de Sainte-Catherine's 1983 thesis. A185249

Triangle V(l,p) (l>=0, p=0..l) read by rows: see Formula for definition, see Comments for motivation. A179898

Moment sequence of tr(A) in USp(4). A138349

a(n) = number of triangles that can be formed from the points of a 3 X n grid. A262402

Triangle T(n,k) read by rows: number of 12312-avoiding matchings on [2n] with exactly k crossings (n >= 1, 0 <= k <= n-1). A108410

Triangle read by rows: the X-transformation of the Catalan triangle A033184. A228334