Properties of the Number 21214

Twenty-One Thousand Two Hundred Fourteen

Basics

Value: 21213 → 21214 → 21215

Parity: even

Prime: No

Previous Prime: 21211

Next Prime: 21221

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 10607

Divisors: 1, 2, 10607, 21214

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101001011011110

Octal: 51336

Duodecimal: 1033A

Hexadecimal: 52de

Square: 450033796

Square Root: 145.65026604850402

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) is the number of ways to select 3 distinct points forming a triangle of unsigned area = n from a square of grid points with side length n, divided by 4. A320542

Numbers k such that A001414(k) is a square and sets a new record for squares. A64463

a(n) = 2·prime(n)² - 4. A153480

Number of nX6 0..1 arrays with every element unequal to 0, 1, 2, 5 or 7 king-move adjacent elements, with upper left element zero. A304924

Number of squarefree parts in the partitions of n into 7 parts. A309459

Number of n X n 0..1 arrays with every element unequal to 0, 1, 2, 5 or 7 king-move adjacent elements, with upper left element zero. A304920

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 5 or 7 king-move adjacent elements, with upper left element zero. A304926

Expansion of 1/((1-x)*(1-2x)*(1-6x)*(1-12x)). A21214

Equals one maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..1 nX3 array. A220534

Number of down-up parking functions of length n. A264963