6822
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14820
- Proper Divisor Sum (Aliquot Sum)
- 7998
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2268
- Möbius Function
- 0
- Radical
- 2274
- Omega Function (Ω)
- 4
- 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
- 137
- 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 that are the sum of 10 positive 7th powers.at n=32A003377
- Numbers that are the sum of 7 nonzero 8th powers.at n=9A003385
- Expansion of 1/((1-x)(1-4x)(1-10x)(1-11x)).at n=3A021984
- Expansion of 1/((1-3x)(1-6x)(1-7x)(1-11x)).at n=3A028077
- a(n) = (n - 1)*(n^2 + n - 1).at n=19A033445
- Numbers whose base-5 representation contains exactly three 2's and two 4's.at n=24A045291
- Matrix 8th power of partition triangle A008284.at n=29A050302
- Least k such that k*11^n +/- 1 are twin primes.at n=31A064220
- Smallest k such that n^8+k^8, n^4+k^4, n^2+k^2, n+k are simultaneously prime.at n=4A071564
- Numbers k such that k! + k + 1 is prime.at n=7A073308
- Number of even cycles in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506.at n=13A081150
- Number of even cycles in range [A014137(2n)..A014138(2n)] of permutation A057505/A057506.at n=6A081152
- Numbers m such that m! + p is a prime, where p is the smallest prime > m.at n=22A084749
- Indices of primes of the form k^2 - 11.at n=35A091273
- Numbers k such that the representation of phi(k) is a cyclic permutation of that of k, in base 10.at n=7A113781
- Numbers k such that the decimal digits of phi(k) are a permutation of those of k.at n=15A115921
- Numbers k for which 8*k+1, 8*k+5 and 8*k+7 are primes.at n=43A123980
- Limit of reversed rows of triangle A126470, in which row sums equal the factorials.at n=17A126471
- Numerator of Euler(n, 1/19).at n=4A156656
- Numbers of ways in which a unit disc can be dissected into 6n curvilinear triangles, at least one of which does not contain the center.at n=20A193362