Properties of the Number 8026

Eight Thousand Twenty-Six

Basics

Value: 8025 → 8026 → 8027

Parity: even

Prime: No

Previous Prime: 8017

Next Prime: 8039

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 4013

Divisors: 1, 2, 4013, 8026

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101011010

Octal: 17532

Duodecimal: 478A

Hexadecimal: 1f5a

Square: 64416676

Square Root: 89.58794561770016

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

Number of partitions of partitions of n where all partitions have the same sum. A305551

Number of inequivalent planar partitions of n, when considering them as 3D objects. A786

Expansion of ∏_k>=1 ((1+x^k)/(1-x^k))^Fibonacci(k). A260916

"AFK" (ordered, size, unlabeled) transform of 2,2,2,2,... A32005

a(n) = ∑_k=1..n binomial(floor(n/k)+3,4). A365409

Number of palindromic squares with at most n digits. A263619

Numbers k such that numerator of Bernoulli(2·k) is divisible by 37 and 59, the first two irregular primes. A92231

Number of n X 3 0..2 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A201272

Number of nondecreasing arrangements of 6 numbers x(i) in -(n+4)..(n+4) with the sum of sign(x(i))*x(i)² zero. A188006

Expansion of f(-x⁵)¹⁰ / f(-x)² in powers of·where f() is a Ramanujan θ function. A243938