2202
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4416
- Proper Divisor Sum (Aliquot Sum)
- 2214
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 732
- Möbius Function
- -1
- Radical
- 2202
- Omega Function (Ω)
- 3
- 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
- 94
- 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
- Partitions into non-integral powers (see Comments for precise definition).at n=11A000234
- Least positive unitary linear combination of distinct numbers in row n of Pascal's triangle; i.e., least positive sum of form d(0)C(n-1,0) + d(1)C(n-1,1) + ...+ d(m)C(n-1,m), d(i)=+-1, m = floor((n+1)/2).at n=20A004795
- a(n) = a(n-1) + a(n - 1 - number of even terms so far).at n=30A006336
- Number of partitions of n in which no part occurs just once.at n=43A007690
- Coordination sequence T3 for Zeolite Code DOH.at n=29A008080
- Coordination sequence T4 for Zeolite Code STI.at n=32A008237
- Coordination sequence T1 for Moganite.at n=30A008258
- Coordination sequence T2 for Moganite, also for BGB1.at n=30A008259
- Coordination sequence T2 for Zeolite Code RTE.at n=32A009891
- a(0) = 1, a(n) = 22*n^2 + 2 for n>0.at n=10A010012
- Numbers k such that Fibonacci(k) == -8 (mod k).at n=27A023166
- n written in fractional base 4/2.at n=26A024630
- Sequence satisfies T(a)=a, where T is defined below.at n=41A027597
- a(n) = n^2 - 7.at n=44A028881
- Numbers k such that k^2 has only even digits.at n=39A030097
- Numbers whose base-3 representation has 4 more 0's than 2's.at n=38A031456
- Number of ways to partition n elements into pie slices of different sizes allowing the pie to be turned over.at n=28A032228
- Number of partitions of n such that cn(0,5) = cn(2,5) <= cn(3,5) = cn(4,5) <= cn(1,5).at n=47A036846
- Coordination sequence T11 for Zeolite Code STT.at n=31A038429
- Partial sums of Fibonacci-lucky numbers.at n=42A039677