Properties of the Number 26829

Twenty-Six Thousand Eight Hundred Twenty-Nine

Basics

Value: 26828 → 26829 → 26830

Parity: odd

Prime: No

Previous Prime: 26821

Next Prime: 26833

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 271

Divisors: 1, 3, 9, 11, 33, 99, 271, 813, 2439, 2981

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100011001101

Octal: 64315

Duodecimal: 13639

Hexadecimal: 68cd

Square: 719795241

Square Root: 163.79560433662436

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

Divisors of 9999999999. A27895

Number of tilings of an equilateral triangle of side length n with unit triangles (of side length 1) and exactly two unit "lozenges" or "diamonds" (also of side length 1). A326367

Numbers k such that ∑_i=1..k i⁶ divides ∏_i=1..k i⁶. A166606

A (-1,1) Somos-4 sequence associated with the elliptic curve y² + y = x³ + x. A178384

a(n) = 1331·n - 1122. A157441

Numbers k that are divisors of the number formed by concatenating (k-1), k and (k+1), in that order. A88877

Odd composites (including 1 in the count) where the number 1 mod 4 equals the number 3 mod 4. A93180

Numbers n such that 10ⁿ - 1 divides 10^10¹⁰⁰ - 10. A200879

Numbers n such that n·x/(x-1) produces a rotation of the digits in n for some value of x. A288669

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384787. A384788