Properties of the Number 21036

Twenty-One Thousand Thirty-Six

Basics

Value: 21035 → 21036 → 21037

Parity: even

Prime: No

Previous Prime: 21031

Next Prime: 21059

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 1753

Divisors: 1, 2, 3, 4, 6, 12, 1753, 3506, 5259, 7012

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101001000101100

Octal: 51054

Duodecimal: 10210

Hexadecimal: 522c

Square: 442513296

Square Root: 145.03792607452715

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

Triangle W, read by rows, where column k of W = column 0 of W^k+1 for k>=0 such that W equals the matrix cube of P = A136220 with column 0 of W = column 0 of P shift up one row. A136231

T(n,k)=Number of 2nX2k 0..2 arrays with values 0..2 introduced in row major order and each element equal to exactly one horizontal or vertical neighbor. A198532

Triangle read by rows: T(n,k) = number of times the value k appears on the parking functions of length n. A298593

T(n,k)=Number of 2nX2k 0..2 arrays with values 0..2 introduced in row major order and each element equal to an odd number of horizontal and vertical neighbors. A198477

Number of edges in a graph of n adjacent rectangles in a row with all possible diagonals drawn, as in A306302, but without the rectangles' edges which are perpendicular to the row. A369177

Matrix cube of triangle W = A136231; also equals P⁹, where P = triangle A136220. A136238

Number of 2n X 2 0..2 arrays with values 0..2 introduced in row major order and each element equal to an odd number of horizontal and vertical neighbors. A198474

Numbers n such that (n + prime(n)), (n+1 + prime(n+1)), (n+2 + prime(n+2)) and (n+3 + prime(n+3)) are divisible by 5. A107582

a(n) = floor((π²/6)ⁿ). A125892

Number of length 3 1..(n+1) arrays with every leading partial sum divisible by 2, 3, 5 or 7. A258634