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Properties of the Number 20801

Twenty Thousand Eight Hundred One

Basics

Value: 20800 → 20801 → 20802

Parity: odd

Prime: No

Previous Prime: 20789

Next Prime: 20807

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 11 × 31 × 61

Divisors: 1, 11, 31, 61, 341, 671, 1891, 20801

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101000101000001

Octal: 50501

Duodecimal: 10055

Hexadecimal: 5141

Square: 432681601

Square Root: 144.2255178531178

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 unimodal functions [1..n]->[0..2]. A223718
Number of integer partitions of n with no part dividing or divisible by all the others. A343342
a(n) = n*(n+2)*(2·n-1)/3. Also, row sums of triangle A131422. A131423
T(n,k)=Number of nXk 0..n·k-1 arrays with upper left zero and lower right n·k-1 and each element differing from its horizontal, vertical and antidiagonal neighbors by a power of two. A265601
T(n,k) is the number of n X k 0..n·k-1 arrays with upper left zero and lower right n·k-1 and each element differing from its horizontal, diagonal and antidiagonal neighbors by a power of two. A265635
Numbers n such that the decimal number concat(7,n) is a square. A273362
Odd composite integers m such that A014448(m) == 4 (mod m). A335670
T(n,k) = Number of n X k 0..n·k-1 arrays with upper left zero and lower right n·k-1 and each element differing from its horizontal, vertical and diagonal neighbors by a power of two. A265494
Number of nX1 0..n·1-1 arrays with upper left zero and lower right n·1-1 and each element differing from its horizontal and vertical neighbors by a power of two. A265173
T(n,k)=Number of nXk 0..n·k-1 arrays with upper left zero and lower right n·k-1 and each element differing from its horizontal and vertical neighbors by a power of two. A265178