Properties of the Number 26984

Twenty-Six Thousand Nine Hundred Eighty-Four

Basics

Value: 26983 → 26984 → 26985

Parity: even

Prime: No

Previous Prime: 26981

Next Prime: 26987

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 3373

Divisors: 1, 2, 4, 8, 3373, 6746, 13492, 26984

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100101101000

Octal: 64550

Duodecimal: 13748

Hexadecimal: 6968

Square: 728136256

Square Root: 164.26807358704855

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

Expansion of ∏_{i>=1, j>=1, k>=1} (1 + x^i·j*k)/(1 - x^i·j*k). A305050

G.f.: g(x)² * g(x²), where g(x) is the g.f. of A000081. A339985

a(n) = 1·t(n) + 2·t(n-1) + ... + k·t(n+1-k), where k=floor((n+1)/2) and t = (F(2), F(3), F(4), ...), F(n) = Fibonacci(n). A23864

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (Fibonacci numbers). A24857

Erroneous version of A323457. A191550

a(n) = ∑_{k=0..floor(n/4)} binomial(n+k,k)² * binomial(n-3·k,k). A383538

Fixed points of the permutation A087559. A131221

s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A000201 (lower Wythoff sequence), t = A001950 (upper Wythoff sequence). A24686

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (F(2), F(3), F(4), ... ). A24861

s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A000201 (lower Wythoff sequence), t = A001950 (upper Wythoff sequence). A25119