Properties of the Number 20171

Twenty Thousand One Hundred Seventy-One

Basics

Value: 20170 → 20171 → 20172

Parity: odd

Prime: No

Previous Prime: 20161

Next Prime: 20173

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 23 × 877

Divisors: 1, 23, 877, 20171

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100111011001011

Octal: 47313

Duodecimal: B80B

Hexadecimal: 4ecb

Square: 406869241

Square Root: 142.02464574854605

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

a(n) = 12·n² - 1. A158463

Rectangular table, read by antidiagonals, where row n is equal to column 0 of matrix power A121412ⁿ⁺¹ for n>=0. A121424

Number of subpartitions of partition P=[0,1,1,2,2,2,3,3,3,3,4,...] (A003056). A121430

Square array, read by antidiagonals, where T(n,k) = T(n,k-1) + T(n-1,k+n) for n>0, k>0, such that T(n,0) = T(n-1,n) for n>0 with T(0,k)=1 for k>=0. A136733

Positive integers of the form (30·m²+1)/11. A179339

a(1) = 1; a(n+1) = round(sqrt(3)*a(n)). A134009

Column 2 of triangular matrix T=A101479, in which row n equals row (n-1) of T^n-1 followed by '1'. A101483

Pseudoprimes to base 43. A20171

Hilltop maps: number of 4Xn binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 4Xn array. A221449