12267
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18720
- Proper Divisor Sum (Aliquot Sum)
- 6453
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7728
- Möbius Function
- 0
- Radical
- 4089
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 125
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- G.f. satisfies A(x) = 1 + x*cycle_index(Sym(6), A(x)).at n=13A036722
- Number of partitions satisfying cn(2,5) + cn(3,5) <= cn(1,5) and cn(2,5) + cn(3,5) <= cn(4,5).at n=43A039877
- Numbers whose base-4 representation contains exactly three 2's and four 3's.at n=12A045152
- a(n) = 2^n + 2^(n - 1) - n - 8.at n=10A058968
- Numbers k such that phi(sigma(k)+k) = sigma(k).at n=13A068366
- a(n) = L(n) * L(n+1) * L(n+2) / 2, where L(n) = Lucas number (A000032).at n=6A085696
- Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 1010-1111-0010 pattern in any orientation.at n=15A146630
- 3 times 12-gonal (or dodecagonal) numbers: a(n) = 3*n*(5*n-4).at n=29A153448
- 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.at n=20A220029
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 662", based on the 5-celled von Neumann neighborhood.at n=34A273390
- Sum of all the parts in the partitions of n into 10 parts.at n=29A326588
- Number of colored integer partitions of n such that five colors are used and parts differ by size or by color.at n=10A327383
- 24*a(n)+1 is the numerator of the squared circumradius of a cyclic quadrilateral with sides n, n+1, n+2, n+3.at n=8A351698