Properties of the Number 12084

Twelve Thousand Eighty-Four

Basics

Value: 12083 → 12084 → 12085

Parity: even

Prime: No

Previous Prime: 12073

Next Prime: 12097

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 19 × 53

Divisors: 1, 2, 3, 4, 6, 12, 19, 38, 53, 57

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10111100110100

Octal: 27464

Duodecimal: 6BB0

Hexadecimal: 2f34

Square: 146023056

Square Root: 109.92724866929036

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 T, read by rows, equal to a diagonal bisection of A118032 such that diagonal n of T equals diagonal 2n+1 of A118032: T(n,k) = A118032(2n+1-k,k); also equals the matrix product of A118032 and SHIFT_UP(A118032). A118045

Number of integer partitions of n where the parts have greater mean than the distinct parts. A360250

Numbers k such that σ(k) divides σ(σ(k)). A66961

Column 2 of triangle A118032, where column 2 of the matrix square of A118032 forms a bisection of this sequence. A118035

Sum of all the parts in the partitions of n into 6 squarefree parts. A308903

Numbers k such that the odd part of σ(σ(k)) is equal to the odd part of σ(k). A353365

a(1) = 2; a(n+1) = a(n)-th composite. A22450

Number of partitions of n such that (greatest part) + (least part) <= number of parts. A237823

Number T(n,k) of permutations p of [n] with no fixed points such that |{ j : |p(j)-j| = 1 }| = k; triangle T(n,k), n >= 0, 0 <= k <= n, read by rows. A323671

Column 2 of triangle A118045; also equals a bisection of A118035, which is column 2 of A118032. A118048