Properties of the Number 26026

Twenty-Six Thousand Twenty-Six

Basics

Value: 26025 → 26026 → 26027

Parity: even

Prime: No

Previous Prime: 26021

Next Prime: 26029

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 7 × 11 × 13 ²

Divisors: 1, 2, 7, 11, 13, 14, 22, 26, 77, 91

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110010110101010

Octal: 62652

Duodecimal: 1308A

Hexadecimal: 65aa

Square: 677352676

Square Root: 161.32575739788115

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) = binomial(n,3)*binomial(n-1,3)/4. A6542

Upper triangle of Catalan Number Wall. A78920

Triangle read by rows: T(n,k) = generalized binomial coefficients (n,k)_10 (n >= 0, 0 <= k <= n). A342889

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

Values·for records of the minima of the positive distance d between the eleventh power of a positive integer·and the square of an integer y such that d = x¹¹ - y² (x <> k² and y <> k¹¹). A179794

Robbins triangle read by rows: T(n,k) = number of alternating sign n X n matrices with a 1 at top of column k (n >= 1, 1<=k<=n). A48601

Number of 4-tuples (p₁, p₂, ..., p₄) of Dyck paths of semilength n, such that each p_i is never below p_i-1. A6150

From enumerating paths in the plane. A91962

a(n) = binomial(m+n-1,n)² - binomial(m+n,n+1)*binomial(m+n-2,n-1) with m=12. A140925