16492
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 35840
- Proper Divisor Sum (Aliquot Sum)
- 19348
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6480
- Möbius Function
- 0
- Radical
- 8246
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 97
- Smith Number
- no
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Expansion of e.g.f. sin(tan(x)+log(x+1)).at n=8A012925
- Expansion of e.g.f. sin(tanh(x) + log(x+1)).at n=8A013118
- Numerators of continued fraction convergents to sqrt(883).at n=6A042706
- Radius of inscribed circle within primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse.at n=43A089551
- a(n) = Sum_{k=0..floor(n/4)} C(n-3*k,k+1).at n=29A098578
- Sum C(n-3k,k-1), k=0..floor(n/4).at n=35A099561
- 7 times heptagonal numbers: a(n) = 7*n*(5*n-3)/2.at n=31A152777
- Arises in covering a graph by forests and a matching.at n=17A179259
- Array: T(m,n) = (F(m) + F(2*m) + ... + F(n*m))/F(m), by antidiagonals, where F = A000045 (Fibonacci numbers).at n=40A214984
- Array: T(m,n) = (F(n) + F(2*n) + ... + F(n*m))/F(n), by antidiagonals; transpose of A214984.at n=40A214985
- Power ceiling array for the golden ratio, by antidiagonals.at n=50A214986
- Power ceiling sequence of (golden ratio)^5.at n=3A214994
- T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, with every occupancy equal to zero or two.at n=56A221419
- Number of 2 X n arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, with every occupancy equal to zero or two.at n=9A221420
- Number of 2Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.at n=9A240413
- a(n) is the number of vertices formed by n-secting the angles of a heptagon.at n=38A335758
- Numbers k such that A360119(k) > 1, but which have no divisors d > 1 such that d+1 is also a divisor.at n=39A360129
- Expansion of 1/( (1 + x) * (1 - x*(1 + x)^3) ).at n=11A375362