Properties of the Number 4084

Four Thousand Eighty-Four

Basics

Value: 4083 → 4084 → 4085

Parity: even

Prime: No

Previous Prime: 4079

Next Prime: 4091

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 1021

Divisors: 1, 2, 4, 1021, 2042, 4084

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 111111110100

Octal: 7764

Duodecimal: 2444

Hexadecimal: ff4

Square: 16679056

Square Root: 63.90618123468183

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

Coordination sequence T1 for Zeolite Code ABW and ATN. A8000

a(n) = 2ⁿ - n. A325

Square array read by descending antidiagonals: A(1,k) = A188163(k), and for n > 1, A(n,k) = A087686(1+A(n-1,k)). A265903

Numbers missing from A102370. A102371

Square array read by descending antidiagonals: A(n,1) = A188163(n), and for k > 1, A(n,k) = A087686(1+A(n,k-1)). A265901

Triangle T(n,k) = T(n-1, k) + T(n-1, k-1) + 7·T(n-2, k-1), read by rows. A153520

Least k for the Theodorus spiral to complete n revolutions. A72895

T(n,k)=Number of nXk binary arrays without the pattern 0 0 diagonally or vertically. A188706

a(n) = a(n-1) + a(m) for n >= 4, where m = 2^p+1 + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = 1 and a(3) = 3. A50033

Dispersion of A055938; starting from its complementary sequence A005187 as the first column of square array A(row,col), read by antidiagonals A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ... A254105