Properties of the Number 21846

Twenty-One Thousand Eight Hundred Forty-Six

Basics

Value: 21845 → 21846 → 21847

Parity: even

Prime: No

Previous Prime: 21841

Next Prime: 21851

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 11 × 331

Divisors: 1, 2, 3, 6, 11, 22, 33, 66, 331, 662

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010101010110

Octal: 52526

Duodecimal: 10786

Hexadecimal: 5556

Square: 477247716

Square Root: 147.8039241698271

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

Expansion of (1 - x)/((1 + x)*(1 - 2·x)). A78008

a(n) = C(n,2) + C(n,5) + ... + C(n, 3·floor(n/3)+2). A24495

a(2·n) = 2·a(2·n-1), a(2·n+1) = 2·a(2·n)-1. A5578

a(n) = (4ⁿ + 2)/3. A47849

Numbers k such that x^k + x + 1 is irreducible over GF(2). A2475

Array A read by diagonals; n-th difference of (A(k,n), A(k,n-1),..., A(k,0)) is (k+2)^n-1, for n=1,2,3,...; k=0,1,2,... A47848

Jacobsthal numbers(A001045) + 1. A128209

G.f.: (1+x)/(1+x-2·x²). A151575

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231263

Numbers k such that k | 8^k + 8. A15897