Properties of the Number 28083

Twenty-Eight Thousand Eighty-Three

Basics

Value: 28082 → 28083 → 28084

Parity: odd

Prime: No

Previous Prime: 28081

Next Prime: 28087

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 23 × 37

Divisors: 1, 3, 11, 23, 33, 37, 69, 111, 253, 407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110110110011

Octal: 66663

Duodecimal: 14303

Hexadecimal: 6db3

Square: 788654889

Square Root: 167.57983172207807

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 (ψ(x) * φ(-x)⁴)² in powers of·where φ(), ψ() are Ramanujan θ functions. A215472

Numbers k such that ω(k) = 4 and the largest prime factor of k equals the sum of its remaining distinct prime factors, where ω(k) = A001221(k). A383728

Numbers n such that sum of distinct primes dividing n is divisible by the largest prime dividing n. Also n is neither a prime, nor a true power of prime and n is squarefree. Squarefree solutions of A071140. A71141

Expansion of (ψ(-x) * φ(x)⁴)² in powers of·where φ(), ψ() are Ramanujan θ functions. A209942

Consider the spiral of Theodorus (A072895). This sequence gives the number of k successive triangles which is closer to 360 degrees than any previous k triangles. A224269

Number T(n,k) of set partitions of [n] such that the maximal value of all absolute differences between least elements of consecutive blocks and between consecutive elements within the blocks equals k; triangle T(n,k), n>=0, 0<=k<=max(n-1,0), read by rows. A287416

Expansion of g.f. 1/ (1-x¹*(1-x^m+1)/ (1-x²*(1-x^m+2)/ (1- ... ))) for m=6. A228646

Squarefree numbers k such that the largest prime factor of k is equal to the sum of the other prime factors of k. A71312

G.f. A(x) satisfies: 1/(1 - x) = A(x)*A(x²)²*A(x³)³*A(x⁴)⁴* ... *A(x^k)^k* ... A307648

Number of multiset partitions of integer partitions of n where all parts have the same product. A320886