Properties of the Number 3822

Three Thousand Eight Hundred Twenty-Two

Basics

Value: 3821 → 3822 → 3823

Parity: even

Prime: No

Previous Prime: 3821

Next Prime: 3823

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 ² × 13

Divisors: 1, 2, 3, 6, 7, 13, 14, 21, 26, 39

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011101110

Octal: 7356

Duodecimal: 2266

Hexadecimal: eee

Square: 14607684

Square Root: 61.82232606429493

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) = floor(n(n+2)(2n+1)/8). A2717

Triangle read by rows: T(n, k) = (k+1)*A132393(n+1, k+1), for 0 <= k <= n. A28421

Numbers whose base-16 expansion has no run of digits with length < 2. A33029

Bisection of A001400. A14125

a(n) = (n-1)*(2·n+5). A130861

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241255

Number T(n,k) of permutations of [n] with k ordered cycles such that equal-sized cycles are ordered with increasing least elements; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A285849

Positive integers n such that n¹⁹ + 1 is semiprime (A001358). A104657

Number of integer partitions of n whose parts are all equal or whose distinct parts are pairwise coprime. A304712

Triangular array read by rows: row n shows the coefficients of the polynomial p(x,n) constructed as in Comments; these polynomials form a strong divisibility sequence. A327321