16285
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 19548
- Proper Divisor Sum (Aliquot Sum)
- 3263
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13024
- Möbius Function
- 1
- Radical
- 16285
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 159
- Smith Number
- yes
- 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
- Number of crossing set partitions of {1,2,...,n}.at n=9A016098
- Numbers k such that the continued fraction for sqrt(k) has period 99.at n=12A020438
- Numbers whose base-5 representation has exactly 7 runs.at n=4A043607
- Row sums of the triangle described in A082200.at n=24A082203
- Sum of the elements in the primitive subsets of the integers 1 to n.at n=13A087078
- Row sums of A117488 which has 1, 3, 5, 7, ... entries per row.at n=8A117489
- a(1) = a(2) = 1, a(n) = A007947(a(n-1)) + a(n-2), for n >= 3, i.e., a(n) = a(n-2) plus the largest squarefree divisor of a(n-1).at n=25A121368
- a(0) = 0 and a(n) = (4*n^3 - 12*n^2 + 20*n - 9)/3 for n >= 1.at n=24A174794
- Number of 4-tuples (w,x,y,z) with all terms in {1,...,n} and w*x<=3*y*z.at n=12A211812
- Number of 4 X n -1,1 arrays such that the sum over i=1..4,j=1..n of i*x(i,j) is zero and rows are nondecreasing (ways to put n thrusters pointing east or west at each of 4 positions 1..n distance from the hinge of a south-pointing gate without turning the gate).at n=39A225311
- Number of (n+1)X(3+1) 0..3 arrays x(i,j) with every row sum{j*x(i,j), j=1..3+1} equal, and every column sum{i*x(i,j), i=1..n+1} equal, with top left element <= 1.at n=5A232525
- T(n,k) = number of (n+1) X (k+1) 0..3 arrays x(i,j) with every row sum{j*x(i,j), j=1..k+1} equal, and every column sum{i*x(i,j), i=1..n+1} equal, with top left element <= 1.at n=30A232526
- T(n,k) = number of (n+1) X (k+1) 0..3 arrays x(i,j) with every row sum{j*x(i,j), j=1..k+1} equal, and every column sum{i*x(i,j), i=1..n+1} equal, with top left element <= 1.at n=33A232526
- Smallest k such that (k+i)*prime(n)# - 1 is prime for i = 0, 1, 2, 3, 4 with prime(n)# = A002110(n) the n-th primorial, n>1.at n=8A277691
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 525", based on the 5-celled von Neumann neighborhood.at n=13A288901
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 577", based on the 5-celled von Neumann neighborhood.at n=13A289463
- Partial sums of A301692.at n=98A301693
- Numbers k such that k and k-1 both first appear in the same power of 2 (in base 10).at n=43A322919
- a(n) = Sum_{i=1..n, gcd(i,n)=1} i*phi(i) where phi is Euler's totient function A000010.at n=53A333291
- a(n) is the number of 4 element sets of integer sided trapezoids with distinct areas and base angles that are 60 degrees, which fill an equilateral triangular grid of side n units.at n=43A389518