6084
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
- 1
Divisibility
- Divisor Count
- 27
- Divisor Sum
- 16653
- Proper Divisor Sum (Aliquot Sum)
- 10569
- 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
- 1872
- Möbius Function
- 0
- Radical
- 78
- Omega Function (Ω)
- 6
- 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
- yes
- 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
- 111
- Smith Number
- yes
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of partitions into non-integral powers.at n=16A000135
- Sum of first n cubes; or n-th triangular number squared.at n=12A000537
- a(n) = (prime(n) - 1)^2.at n=21A005722
- T(n+2,2) from table A045912 of characteristic polynomial of negative Pascal matrix.at n=4A006135
- a(n) = 2*a(n-1) - a(n-2) - a(n-4) with a(0) = a(1) = 0, a(2) = 1, a(3) = 2.at n=29A014292
- Squares of elements to right of central element in Pascal triangle (by row) that are not 1.at n=34A014720
- Squares of even triangular numbers.at n=5A014738
- Squares of numbers in array formed from even elements to the right of middle of rows of Pascal triangle.at n=20A014762
- Squares of distinct elements in Pascal triangle.at n=36A014764
- Even squares: a(n) = (2*n)^2.at n=39A016742
- a(n) = (3*n)^2.at n=26A016766
- a(n) = (4n + 2)^2.at n=19A016826
- a(n) = (5*n + 3)^2.at n=15A016886
- a(n) = (6*n)^2.at n=13A016910
- a(n) = (7*n + 1)^2.at n=11A016994
- a(n) = (8*n+6)^2.at n=9A017138
- a(n) = (9*n + 6)^2.at n=8A017234
- a(n) = (10*n + 8)^2.at n=7A017366
- a(n) = (11*n+1)^2.at n=7A017402
- a(n) = (12*n + 6)^2.at n=6A017594