Properties of the Number 20582

Twenty Thousand Five Hundred Eighty-Two

Basics

Value: 20581 → 20582 → 20583

Parity: even

Prime: No

Previous Prime: 20563

Next Prime: 20593

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 41 × 251

Divisors: 1, 2, 41, 82, 251, 502, 10291, 20582

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000001100110

Octal: 50146

Duodecimal: BAB2

Hexadecimal: 5066

Square: 423618724

Square Root: 143.46428126889285

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 the graph G_n (defined below) into "strokes". A131518

Number of partitions of n with product of multiplicities of parts equal to n. A266499

G.f. A(x) satisfies: A(x) = x·exp(∑_i>=1 ∑_j>=1 (-1)^j+1*A(x^i·j)/j). A308060

Number of integer compositions of n whose length is twice their alternating sum. A357847

Integers n > 10583 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 10583. A66055

Number of divisors associated with the cyclic cases within the n-th group of least prime signatures. A79274

Number of nondecreasing strings of numbers x(i=1..7) in -n..n with sum x(i)³ equal to 0. A188281

Numbers n such that the sum of the digits of n times the sum of the digits squared of n equals n. A115518

G.f. A(x,y) satisfies: A(x,y) = x·y + 1/A(x,x·y), with A(0,y) = 1. A275760

Smallest nonempty set S containing prime divisors of 3k+4 for each k in S. A20582