6022
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9036
- Proper Divisor Sum (Aliquot Sum)
- 3014
- 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
- 3010
- Möbius Function
- 1
- Radical
- 6022
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 41
- 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
- Sum of n plus its prime factors associated with A020700.at n=18A020905
- 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 76.at n=15A031574
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 58 ones.at n=3A031826
- Number of ways to partition n elements into pie slices of different sizes of at least 2 allowing the pie to be turned over.at n=38A032230
- Periods associated with A040017.at n=53A051627
- Number of 1's in binary expansion of parts in all partitions of n.at n=20A066624
- A089320(n)/n.at n=6A089321
- Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 9 multiples of n-1, n-2, ..., 1, for n>=1.at n=37A113746
- Complete list of solutions to y^2 = x^3 - 207; sequence gives y values.at n=5A134106
- Indices n such that A019328(n) = Phi(n,10) is prime, where Phi is a cyclotomic polynomial.at n=49A138940
- Triangle read by rows:e(n,k)=Sum[(-1)^j Binomial[n + 1, j](k + 1 - j)^n, {j, 0, k + 1}]; t(n,m)=(e[n + 1, m]*PartitionsQ[n] + e[n + 1, n - m]*(PartitionsQ[ n - m] + PartitionsQ[m])) - 2.at n=37A156225
- Triangle read by rows:e(n,k)=Sum[(-1)^j Binomial[n + 1, j](k + 1 - j)^n, {j, 0, k + 1}]; t(n,m)=(e[n + 1, m]*PartitionsQ[n] + e[n + 1, n - m]*(PartitionsQ[ n - m] + PartitionsQ[m])) - 2.at n=43A156225
- Number of nondecreasing integer sequences of length 5 with sum zero and sum of absolute values 2n.at n=37A158139
- a(n) = 7*n*(n+1)/2 - 5.at n=40A166154
- Total area of the largest inscribed rectangles of all integer partitions of n.at n=19A182099
- Triangle read by rows: row n (n>=1) enumerates marked mesh patterns of type R_n^(1,0,2,0).at n=20A182544
- a(n) = 8*n^2 + 7*n + 1.at n=27A194268
- Number of segments needed to draw (on the infinite square grid) a diagram of regions and partitions of n.at n=26A211026
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..6 array extended with zeros and convolved with 1,2,2,1.at n=18A222109
- Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 10.at n=40A240019