16199
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 16464
- Proper Divisor Sum (Aliquot Sum)
- 265
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 15936
- Möbius Function
- 1
- Radical
- 16199
- 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
- 159
- 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 sopfr(k) = sopfr(k + sopfr(k)).at n=23A050780
- Consider all integer triples (i,j,k), j,k>0, with binomial(i+2,3)=binomial(j+2,3)+k^3, ordered by increasing i; sequence gives k values.at n=50A054223
- n*10^3-1, n*10^3-3, n*10^3-7 and n*10^3-9 are all prime.at n=10A064977
- Integers expressible as the sum of (at least two) consecutive primes in at least 4 ways.at n=35A067374
- (p*q - 1)/2 where p and q are consecutive odd primes.at n=39A102770
- Number of hierarchical orderings ("societies") of n unlabeled elements ("individuals") with at least two occupied levels.at n=13A110045
- (Product of twin primes - 1)/2.at n=12A120876
- Where records occur in A001917.at n=18A152597
- a(n) = 18*n^2 - 1.at n=29A157910
- a(n) = 50*n^2 - 1.at n=17A157919
- a(n) = 900*n - 1.at n=17A158409
- a(n) = 72*n^2 - 1.at n=14A158738
- Convolved with its aerated variant = A000041.at n=51A174065
- Numbers n such that d(n + d(n)) = d(n), where d(n) is the sum of the distinct primes dividing n.at n=21A175760
- G.f. A(x) satisfies: 1+x = Sum_{n>=0} A(x)^n/sf(n), where A(x) = Sum_{n>=1} a(n)*x^n/sf(n), and sf(n) = Product_{k=0..n} k! is the superfactorial of n (A000178).at n=4A193479
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 449", based on the 5-celled von Neumann neighborhood.at n=29A272254
- Sum of the legs of the unique primitive Pythagorean triple whose inradius is the n-th prime and whose short leg is an odd number.at n=23A382097
- Sum of the legs of the unique primitive Pythagorean triple whose inradius is A000045(n) and such that its long leg and its hypotenuse are consecutive natural numbers.at n=11A382308