8222
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12336
- Proper Divisor Sum (Aliquot Sum)
- 4114
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4110
- Möbius Function
- 1
- Radical
- 8222
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 39
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 90.at n=8A031588
- Numbers having three 2's in base 10.at n=34A043499
- a(n) is the smallest value of k such that number of non-unitary prime divisors of k-th Catalan number, A000108(k) = C(2*k,k)/(k+1) equals n.at n=20A081395
- a(n) = floor(C(n+8,8)/C(n+2,2)).at n=18A084631
- Iccanobirt prime indices (14 of 15): Indices of prime numbers in A102124.at n=17A102144
- Slowest increasing sequence which self-describes its succession of odd and even digits.at n=39A105771
- Near-repdigit semiprimes with 2 as repeated digit.at n=13A105983
- Number of integer-sided triangles with all sides <= n and sides relatively prime.at n=47A123324
- Sums of two (not necessarily distinct) Mersenne primes (A000668).at n=12A171251
- Parameters k for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3+k has order 16.at n=10A179130
- a(n) = 2^n - 2*n*A000048(n).at n=65A182256
- G.f. satisfies: A(x) = Product_{n>=0} (1 + x*(x+x^2)^n)/(1 - x*(x+x^2)^n).at n=12A192627
- Numbers in which each digit equals the product (mod 10) of the other digits.at n=44A226467
- Number of partitions of n such that (greatest part) - (least part) >= number of parts.at n=35A237834
- Number of partitions of n into 8 parts such that every i-th smallest part (counted with multiplicity) is different from i.at n=19A244244
- Concatenate n-th composite number with concatenation of its prime factors in ascending order.at n=2A245315
- Number of (n+1) X (4+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nonincreasing x(i,j)-x(i-1,j) in the j direction.at n=11A250738
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 334", based on the 5-celled von Neumann neighborhood.at n=30A271283
- Magic sums of 4 X 4 magic squares composed of triangular numbers.at n=41A271579
- Numbers whose derivative is equal to the arithmetic derivative.at n=27A273993