Properties of the Number 26584

Twenty-Six Thousand Five Hundred Eighty-Four

Basics

Value: 26583 → 26584 → 26585

Parity: even

Prime: No

Previous Prime: 26573

Next Prime: 26591

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 3323

Divisors: 1, 2, 4, 8, 3323, 6646, 13292, 26584

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011111011000

Octal: 63730

Duodecimal: 13474

Hexadecimal: 67d8

Square: 706709056

Square Root: 163.04600577751054

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

T(n,k)=Number of n-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on a kXk board summed over all starting positions. A187857

Number of partitions of n with difference -7 between the number of odd parts and the number of even parts, both counted without multiplicity. A242685

a(n) = sum of the origin-to-boundary graph-distances of all partitions of n. A368986

For positive n with prime decomposition n = ∏_j=1..m (p_j^k_j) define A_n = ∑_j=1..m (p_j*k_j) and B_n = ∑_j=1..m (p_j^k_j). This sequence gives those n for which A_n and B_n are both prime and B_n = A_n + 2 (i.e., form a twin prime pair). A185718

Number of 7-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions. A187862

Number of n X 3 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 n X 3 array. A219514

Numbers k which are the product of a cube greater than 1 and a prime, and where k-1 and k-2 are semiprimes. A350284

Numbers k such that 2^k, 2^k+1 and 2^k+2 have the same number of terms in their Zeckendorf representation (A007895). A374961

Irregular triangular array T read by rows: T(i,0) = T(i,2i) = 1 for i >= 0; T(i,1) = T(i,2i-1) = floor(i/2) for i >= 1; and for i >= 2 and j = 2..2i-2, T(i,j) = T(i-1,j-2) + T(i-1,j-1) + T(i-1,j) if i+j is odd, and T(i,j) = T(i-1,j-2) + T(i-1,j) if i+j is even. A26584

G.f. A(x) satisfies A(x)² = A(3·x - 3·A(x)) / 3. A389541