8282
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12852
- Proper Divisor Sum (Aliquot Sum)
- 4570
- 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
- 4000
- Möbius Function
- -1
- Radical
- 8282
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 127
- 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
- Number of NPN-equivalence classes of unate Boolean functions of n or fewer variables.at n=6A003183
- Quadruples of different integers from [ 2,n ] with no common factors between pairs.at n=38A015628
- Denominators of the first differences of 1/(n^2 + 1).at n=9A033466
- Number of partitions satisfying (cn(2,5) <= cn(1,5) and cn(3,5) <= cn(1,5) and cn(2,5) <= cn(4,5) and cn(3,5) <= cn(4,5)).at n=40A036802
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,1,3.at n=4A037720
- Numbers whose consecutive digits differ by 6.at n=29A048408
- Numbers n such that n | sigma_10(n).at n=45A055714
- Geometric mean of the digits = 4. In other words, the product of the digits is = 4^k where k is the number of digits.at n=37A061428
- Numbers, not composed of the same digits, such that the geometric and arithmetic means of their decimal digits are integers.at n=35A067452
- Centered square numbers: a(n) = 4*n^2 + 4*n + 2.at n=45A069894
- Sums of (one or more distinct) k-perfect numbers.at n=38A083865
- Least number k such that between k! and (k+1)! there are n powers of 2 (each interval includes (k+1)! but not k!).at n=13A084321
- Expansion of q^(-1/6) * eta(q^2)^3 / eta(q)^2 in powers of q.at n=46A085140
- Number of ordered 3-multiantichains on an n-set.at n=5A092881
- Least k such that 10^n + k - 1 is the first of a pair of twin primes.at n=48A103129
- a(0)=a(1)=0, a(2)=2; for n >= 3, a(n) = a(n-1) + 4*a(n-3).at n=15A122946
- Row sums of triangle A131424.at n=36A131425
- a(n) = n*(5*n-3).at n=41A135706
- Numbers of the form x^5 + 10*x^3*y^2 + 5*x*y^4 (where x,y are integers).at n=16A135794
- Numbers that can be written from base 2 to base 9 using only the digits 0 to 3.at n=5A146026