12282
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 25920
- Proper Divisor Sum (Aliquot Sum)
- 13638
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3872
- Möbius Function
- 1
- Radical
- 12282
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 63
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Coefficients arising in the enumeration of configurations of linear chains.at n=8A038749
- Numbers whose base-4 representation contains exactly three 2's and four 3's.at n=14A045152
- a(n) = T(7,n), array T given by A047858.at n=10A048468
- Numbers n such that 167*2^n-1 is prime.at n=24A050835
- Start with a single triangle; at n-th generation add a triangle at each vertex, allowing triangles to overlap; sequence gives number of triangles in n-th generation.at n=22A061776
- a(1) = 1; thereafter a(n) = 6*(2^(n-1) - 1).at n=11A068293
- Next term is the sum of previous term and the square of the sum of its decimal digits, with a(0) = 10.at n=42A112787
- Triangle of numbers, called Y(1,2), related to generalized Catalan numbers A062992(n) = C(2;n+1) = A064062(n+1).at n=26A115195
- Number of n X n 0..3 arrays with rows and columns, considered as 4-ary numbers, in strictly increasing order.at n=2A162135
- a(n) = sigma(n*2^(n-1)).at n=9A176362
- Base-10 representation of numbers k which, in base 2, satisfy abs(k + reverse(k) - reverse(k + reverse(k))) = abs(k - reverse(k)) + reverse(abs(k - reverse(k))) = k.at n=7A179697
- Number of 4 X n 0..1 arrays with diagonals and antidiagonals unimodal and rows nondecreasing.at n=12A223951
- Number of idempotent n X n 0..3 matrices of rank n-1.at n=5A224328
- T(n,k)=Number of idempotent n X n 0..k matrices of rank n-1.at n=33A224333
- Number of idempotent 6X6 0..n matrices of rank 5.at n=2A224337
- Number of perfect cube parts in all partitions of n.at n=27A264392
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 486", based on the 5-celled von Neumann neighborhood.at n=31A272508
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 934", based on the 5-celled von Neumann neighborhood.at n=33A273794
- Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 603", based on the 5-celled von Neumann neighborhood.at n=13A283251
- a(n) = a(n-1) + 2*a(n-4) - 2*a(n-5) for n >= 5, where a(0) = 2, a(1) = 4, a(2) = 6, a(3) = 8, a(4) = 10.at n=42A288732