Properties of the Number 3066

Three Thousand Sixty-Six

Basics

Value: 3065 → 3066 → 3067

Parity: even

Prime: No

Previous Prime: 3061

Next Prime: 3067

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 × 73

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 73, 146

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101111111010

Octal: 5772

Duodecimal: 1936

Hexadecimal: bfa

Square: 9400356

Square Root: 55.37147279962851

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

Integer averages of first k primes for some k. A50248

Triangle read by rows: T(n,m) (n >= m >= 1) = number of regions (or cells) formed by drawing the line segments connecting any two of the 2*(m+n) perimeter points of an m X n grid of squares. A331452

Q-toothpick sequence (see Comments for precise definition). A187210

Numbers k such that π(k) divides k. A57809

Total number of positive integers below 10ⁿ requiring 4 positive biquadrates in their representation as sum of biquadrates. A186653

Triangle of numbers related to triangle A049213; generalization of Stirling numbers of second kind A008277, Bessel triangle A001497. A369

Generalized Stirling number triangle of first kind read by rows: T(n, k) = [x^k] ∏_m=1..n (x - m - r), with r = 6. A51339

Number of regions formed by drawing the lines connecting any two of the 2*(n+2) perimeter points of a 3 X (n+1) rectangular grid of points (or equally, a 2 X n grid of squares). A331766

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250755

Values of m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,3. A64238