12216
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 30600
- Proper Divisor Sum (Aliquot Sum)
- 18384
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4064
- Möbius Function
- 0
- Radical
- 3054
- Omega Function (Ω)
- 5
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 156
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that (k / product of digits of k) is 1 or a prime.at n=35A001103
- Partial sums of A006206.at n=23A001461
- a(n) = C(n+2,3) + 2*C(n,2) + 2*(n-2).at n=38A034857
- 16*a(n) gives theta series of the shadow of the 24-dimensional odd Leech lattice.at n=1A055379
- McKay-Thompson series of class 21A for Monster.at n=23A058563
- a(1) = 1; thereafter a(n) is the smallest number > a(n-1) such that a(n) minus any sum of distinct earlier terms is not already in the sequence.at n=12A066425
- Dividuus numbers: numbers which are divisible by (1) the sum of their digits,(2) the product of their digits,(3) the digital root and (4) the multiplicative digital root.at n=44A118575
- Sequence that except for initial 1 is the complement of its inverse Euler transform.at n=14A120538
- Antidiagonal sums of triangle A124428.at n=20A124429
- a(n) = ((6 + sqrt(2))^n + (6 - sqrt(2))^n)/2.at n=5A147957
- Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 5.at n=32A209990
- Number of 2 X 2 matrices having all terms in {1,...,n} and determinant d satisfying -n < d < n.at n=15A211070
- a(n) is the smallest k such that in the interval [1,k] of sequence A242034 all odd primes <= prime(n) are present.at n=44A242037
- Number of length n+6 0..1 arrays with at most one downstep in every n consecutive neighbor pairs.at n=32A255997
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 113", based on the 5-celled von Neumann neighborhood.at n=25A270179
- Sum of divisors of the products of the smaller and larger parts of the partitions of n into two parts.at n=41A270528
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 579", based on the 5-celled von Neumann neighborhood.at n=23A273028
- Partial sums of A080670.at n=52A287881
- Number of ways to write n as an ordered sum of 8 primes.at n=18A340964
- a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n,k) * binomial(5*k,k) / (4*k + 1).at n=6A346665