Properties of the Number 12267

Twelve Thousand Two Hundred Sixty-Seven

Basics

Value: 12266 → 12267 → 12268

Parity: odd

Prime: No

Previous Prime: 12263

Next Prime: 12269

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 29 × 47

Divisors: 1, 3, 9, 29, 47, 87, 141, 261, 423, 1363

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111101011

Octal: 27753

Duodecimal: 7123

Hexadecimal: 2feb

Square: 150479289

Square Root: 110.7564896518484

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

G.f. satisfies A(x) = 1 + x·cycle_index(Sym(6), A(x)). A36722

3 times 12-gonal (or dodecagonal) numbers: a(n) = 3·n*(5·n-4). A153448

Sum of all the parts in the partitions of n into 10 parts. A326588

G.f.: ∏_m>=1 1/(1+x^m)^A000009(m). A89254

Number of colored integer partitions of n such that five colors are used and parts differ by size or by color. A327383

a(n) = L(n) * L(n+1) * L(n+2) / 2, where L(n) = Lucas number (A000032). A85696

24·a(n)+1 is the numerator of the squared circumradius of a cyclic quadrilateral with sides n, n+1, n+2, n+3. A351698

a(n) = 2ⁿ + 2^{n - 1} - n - 8. A58968

Numbers k such that φ(σ(k)+k) = σ(k). A68366

Number of n X 5 arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 n X 5 array. A220029