Properties of the Number 20576

Twenty Thousand Five Hundred Seventy-Six

Basics

Value: 20575 → 20576 → 20577

Parity: even

Prime: No

Previous Prime: 20563

Next Prime: 20593

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁵ × 643

Divisors: 1, 2, 4, 8, 16, 32, 643, 1286, 2572, 5144

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101000001100000

Octal: 50140

Duodecimal: BAA8

Hexadecimal: 5060

Square: 423371776

Square Root: 143.44336861632885

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

Smallest number such that n·a(n) is a concatenation of n consecutive integers; or 0 if no such number exists. A75000

Floor of concatenation of n, n+1, n+2, n+3, n+4, n+5 divided by 6. A74996

Expansion of (1/2)*(1/x² - 1/x)*(1-x-sqrt(1-2·x+x²-4·x³)) - x. A52702

Concatenation of (6n-5), (6n-4), (6n-3), (6n-2), (6n-1) and 6n divided by 6. A82254

Number of compositions of n into parts 3,4 where both parts are always present. A245487

Smallest k such that k·n is a number that is a permutation of the digits of first n numbers. a(n) = A083429(n)/n. A83430

O.g.f.: ∑_n>=0 4*(n+4)^n-1*xⁿ/(1+n·x)ⁿ. A195256

Principal diagonal of the convolution array A213841. A213842

Irregular table read by rows: T(n,k) is the number of k-gons, k>=3, formed in a square with edge length 1 by straight line segments when connecting the internal edge points that divide the sides into segments with lengths equal to the Farey series of order n to the equivalent points on the opposite side of the square. A359656

Integers k > 10577 such that the 'Reverse and Add!' trajectory of k joins the trajectory of 10577. A63434