16197
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 21600
- Proper Divisor Sum (Aliquot Sum)
- 5403
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10796
- Möbius Function
- 1
- Radical
- 16197
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 66
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- 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 84.at n=38A031582
- Expansion of sum ( q^n / product( 1-q^k, k=1..4*n), n=0..inf ).at n=30A035296
- Numbers k such that 285*2^k-1 is prime.at n=44A050901
- Numbers n such that phi(2n+1) = sigma(n).at n=40A067229
- For n > 1, a(n) is the smallest number such that n-th concatenation is prime and the smallest palindrome beginning with (but not equal to) this concatenation is also prime.at n=21A088090
- Numbers of the form 68+p^2 (where p is a prime).at n=30A138691
- Number of partitions of n such that the number of parts is not divisible by the greatest part.at n=35A200727
- Expansion of 1/(1 - x + x^2 - x^3 - x^6 - x^9 + x^10 - x^11 + x^12).at n=50A225499
- Number of compositions of n, where the difference between the number of odd parts and the number of even parts is 3.at n=15A242501
- Number of (n+2) X (1+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 0 2 4 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 0 2 4 6 or 7.at n=10A252516
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 969", based on the 5-celled von Neumann neighborhood.at n=22A273849
- Number of octagons that can be formed with perimeter n.at n=45A288254
- Subword complexity of a the infinite word Prod_{i>=1} Prod_{j=1..i} a^j b^(i-j+1).at n=46A338761
- Expansion of e.g.f. 1/(exp(x) - log(1 + x)).at n=8A352138