2197
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2380
- Proper Divisor Sum (Aliquot Sum)
- 183
- 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
- 2028
- Möbius Function
- 0
- Radical
- 13
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 1
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
- yes
- 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
- 94
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- The cubes: a(n) = n^3.at n=13A000578
- Powers of 13: a(n) = 13^n.at n=3A001022
- Product of Fibonacci and Pell numbers.at n=6A001582
- Numbers that are the sum of 11 positive 7th powers.at n=12A003378
- Number of perfect matchings (or domino tilings) in O_5 X P_2n.at n=1A003741
- a(n) = floor(1000*log(n)).at n=8A004240
- a(n) = 1000*log(n) rounded to the nearest integer.at n=8A004241
- Sum of cubes of primes dividing n.at n=12A005064
- Sum of cubes of odd primes dividing n.at n=12A005067
- Sum of cubes of odd primes dividing n.at n=51A005067
- Sum of cubes of odd primes dividing n.at n=25A005067
- Sum of cubes of primes = 1 mod 3 dividing n.at n=38A005072
- Sum of cubes of primes = 1 mod 3 dividing n.at n=25A005072
- Sum of cubes of primes = 1 mod 3 dividing n.at n=51A005072
- Sum of cubes of primes = 1 mod 3 dividing n.at n=64A005072
- Sum of cubes of primes = 1 mod 3 dividing n.at n=12A005072
- Sum of cubes of primes = 1 mod 3 dividing n.at n=77A005072
- Sum of cubes of primes = 1 mod 4 dividing n.at n=38A005080
- Sum of cubes of primes = 1 mod 4 dividing n.at n=25A005080
- Sum of cubes of primes = 1 mod 4 dividing n.at n=12A005080