Properties of the Number 26859

Twenty-Six Thousand Eight Hundred Fifty-Nine

Basics

Value: 26858 → 26859 → 26860

Parity: odd

Prime: No

Previous Prime: 26849

Next Prime: 26861

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 1279

Divisors: 1, 3, 7, 21, 1279, 3837, 8953, 26859

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110100011101011

Octal: 64353

Duodecimal: 13663

Hexadecimal: 68eb

Square: 721405881

Square Root: 163.887156299693

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

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of sqrt((1-(k+4)*x+sqrt(1+2*(k-4)*x+((k+4)*x)²)) / (2 * (1+2*(k-4)*x+((k+4)*x)²))). A337419

a(n) is the number of integer partitions of n for which the largest part is equal to the index of the seaweed algebra formed by the integer partition paired with its weight. A318203

Expansion of sqrt((1-7·x+sqrt(1-2·x+49·x²)) / (2 * (1-2·x+49·x²))). A337422

Least number having n orderless representations as p² + q² + r², where p, q, and r are primes. A214512

a(n) = ∑_k=1..n (-1)^k+1 * floor((n/k)³). A350222

Odd composites (including 1 in the count) where the number 3 mod 4 equals the number 1 mod 4. A93181

Magic sums of 3 X 3 semimagic squares composed of odd squares. A269297

Magic sums of 3 X 3 semimagic squares composed of squares of primes. A269344

G.f. A(x) satisfies A(x) = 1/( 1 - x * (1+x)³ * A(x) )². A382894

T(2n,n-4), T given by A026747. A26859