16194
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 32400
- Proper Divisor Sum (Aliquot Sum)
- 16206
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 5396
- Möbius Function
- -1
- Radical
- 16194
- 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
- 66
- 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
- Number of increasing sequences of Goldbach type with maximal element n.at n=17A008929
- Number of subsets S of T={0,1,2,...,n} such that each element of T is the sum of two (not necessarily distinct) elements of S.at n=16A066062
- a(n) = Sum_{ d divides n } (n/d)^(2d).at n=11A073705
- Numbers k such that 2^k + prime(k)^2 is prime.at n=17A117588
- a(n)=sqrt(A127856(n)).at n=9A127857
- Numbers n such that sigma(n) and sigma(sigma(n)) are both perfect squares.at n=14A134263
- The number of symmetric numerical sets with odd Frobenius number and no small atoms.at n=16A164047
- Numbers k such that the sum of the divisors of k and the sum of the distinct prime divisors of k are both a square.at n=20A194196
- Number of length n+6+2 0..6 arrays with every value 0..6 appearing at least once in every consecutive 6+3 elements, and new values 0..6 introduced in order.at n=3A242321
- T(n,k)=Number of length n+k+2 0..k arrays with every value 0..k appearing at least once in every consecutive k+3 elements, and new values 0..k introduced in order.at n=39A242322
- Number of nonnegative solutions to (x_1)^2 + (x_2)^2 + ... + (x_7)^2 <= n.at n=28A341402
- Irregular triangle read by rows: the right-hand side of the triangle in A349815.at n=72A349816
- Central column (ignoring the zeros) of A349815, or leading entries in rows of A349816.at n=11A349818
- Number of 3-dimensional tilings of a 2 X 2 X n box using 1 X 1 X 1 cubes, 2 X 1 X 1 dominos, 2 X 2 X 1 plates and trominos (L-shaped connection of 3 cubes).at n=3A360644