2082
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4176
- Proper Divisor Sum (Aliquot Sum)
- 2094
- 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
- 692
- Möbius Function
- -1
- Radical
- 2082
- 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
- 125
- 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
- Numbers that are the sum of 5 positive 5th powers.at n=37A003350
- Cald's sequence: a(n+1) = a(n) - prime(n) if that value is positive and new, otherwise a(n) + prime(n) if new, otherwise 0; start with a(1)=1.at n=106A006509
- Coordination sequence T4 for Zeolite Code FER.at n=28A008109
- Numbers k such that the continued fraction for sqrt(k) has period 22.at n=46A020361
- a(n) = n*(29*n - 1)/2.at n=12A022286
- Numbers k such that Fibonacci(k) == -8 (mod k).at n=26A023166
- Coordination sequence T2 for Zeolite Code IFR.at n=32A024983
- a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026659.at n=4A026979
- 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 44.at n=11A031542
- Number of partitions of n such that cn(0,5) = cn(2,5) < cn(3,5) = cn(4,5) < cn(1,5).at n=52A036858
- Numbers n such that string 4,2 occurs in the base 8 representation of n but not of n-1.at n=36A044221
- Numbers k such that the string 6,3 occurs in the base 9 representation of k but not of k-1.at n=28A044308
- Numbers n such that string 8,2 occurs in the base 10 representation of n but not of n-1.at n=22A044414
- Numbers n such that string 4,2 occurs in the base 8 representation of n but not of n+1.at n=36A044602
- Numbers n such that string 6,3 occurs in the base 9 representation of n but not of n+1.at n=28A044689
- Numbers n such that string 8,2 occurs in the base 10 representation of n but not of n+1.at n=22A044795
- Numbers whose base-4 representation contains exactly three 0's and no 1's.at n=22A045028
- Numbers whose base-4 representation contains exactly three 0's and three 2's.at n=1A045055
- Numbers whose base-4 representation contains no 1's and exactly three 2's.at n=41A045088
- Numbers n such that number of primes produced according to rules stipulated in Honaker's A048853 is 4.at n=49A050655