Properties of the Number 12069

Twelve Thousand Sixty-Nine

Basics

Value: 12068 → 12069 → 12070

Parity: odd

Prime: No

Previous Prime: 12049

Next Prime: 12071

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 149

Divisors: 1, 3, 9, 27, 81, 149, 447, 1341, 4023, 12069

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10111100100101

Octal: 27445

Duodecimal: 6B99

Hexadecimal: 2f25

Square: 145660761

Square Root: 109.85900054160332

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

Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 6 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=3·floor(n/2), read by rows. A238550

Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 8 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=4·floor(n/2), read by rows. A238557

a(n) = T(2·n, n-1), where T is given by A026552. A26559

a(n) = ∑_k=1..n gcd(k, n)³. A343497

Consider Watanabe's 3-shift tag system {00/1011} applied to the word (100)ⁿ; a(n) = position of the longest word in the orbit, or -1 if the orbit is unbounded. A292094

G.f.: ∑_n>=0 n! * x^n*(n+1/2) / ∏_k=1..n (1 - k·x^k). A204858

Triangle read by rows: T(n,k) is the maximum number of ways in which a set of integer-sided squares can tile an n X k rectangle, up to rotations and reflections, 0 <= k <= n. A362258

Number of subsets of {1,...,n} not containing {a,a+2,a+4} for any a. A209410

Convolution of A006068 (inverse of Gray code) with itself: a(n) = ∑_k=1..n+1 A006068(k) * A006068(1+n-k). A268721

G.f. satisfies A(x) = 1/(1-x) + x⁴*A(x)⁴. A364591