Properties of the Number 26809

Twenty-Six Thousand Eight Hundred Nine

Basics

Value: 26808 → 26809 → 26810

Parity: odd

Prime: No

Previous Prime: 26801

Next Prime: 26813

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 17 × 19 × 83

Divisors: 1, 17, 19, 83, 323, 1411, 1577, 26809

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100010111001

Octal: 64271

Duodecimal: 13621

Hexadecimal: 68b9

Square: 718722481

Square Root: 163.7345412550449

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

Least number k such that n concatenated with k produces a cube. A245631

A(n,k) is the sum over all Motzkin paths of length n of products over all peaks p of (x_p+k·y_p)/y_p, where x_p and y_p are the coordinates of peak p; square array A(n,k), n>=0, k>=0, read by antidiagonals. A258306

T(n,k) = 1/k! * ∑_i=0..k (-1)^k-i *C(k,i) * A258306(n,i); triangle T(n,k), n>=0, 0<=k<=floor(n/2), read by rows. A258307

Number of Dyck paths of semilength n such that the number of peaks is weakly decreasing from lower to higher levels. A288140

Numbers k for which rank of the elliptic curve y²=x³+k·x is 4. A309031

Number of positive integers <= 10ⁿ that are divisible by no prime exceeding 17. A108275

Sum over all Motzkin paths of length n of products over all peaks p of x_p/y_p, where x_p and y_p are the coordinates of peak p. A258312

Numbers n such that 10ⁿ+2·n+1 is prime. A174178

Least number k > n such that n concatenated with k produces a cube. A243092

a(n) is the Wiener index of a broom on 2n vertices of which n+2 are pendant. A349416