16444
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 28784
- Proper Divisor Sum (Aliquot Sum)
- 12340
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8220
- Möbius Function
- 0
- Radical
- 8222
- Omega Function (Ω)
- 3
- 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
- 40
- 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
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 82 ones.at n=19A031850
- Number of ways to partition 2n into distinct positive integers.at n=32A035294
- Numbers ending with '4' that are the difference of two positive cubes.at n=35A038859
- (n+4)^3 - n^3.at n=34A038866
- Number of partitions of 2^n into distinct parts.at n=6A067735
- Number of distinct partitions of n^2.at n=8A072243
- Number of ways to partition 4*n into distinct positive integers.at n=16A078406
- Row sums of triangle A111840, which shifts columns left and up under matrix cube.at n=5A111842
- Smallest natural number requiring n letters in Spanish.at n=37A161353
- a(n) = name of smallest positive number in Spanish which has the letter E in the n-th position starting from the end, or -1 if no such number exists.at n=37A173182
- a(n) = 2^n - 2*n*A000048(n).at n=42A182256
- Number of strings of numbers x(i=1..n) in 0..7 with sum i^3*x(i) equal to n^3*7.at n=8A184255
- Number of (w,x,y) with all terms in {0,...,n} and w != max(|w-x|,|x-y|,|y-w|).at n=25A213498
- Number of partitions of n with difference 8 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=37A242699
- Coordination sequence for (3,3,7) tiling of hyperbolic plane.at n=19A265074
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 734", based on the 5-celled von Neumann neighborhood.at n=31A273455
- Number of partitions of n^3 into distinct parts.at n=4A281501
- a(n) = A000009(A000009(n)).at n=20A284908
- Numbers k such that (151*10^k - 7)/9 is prime.at n=18A289535
- Number of solutions to 1 +- 8 +- 27 +- ... +- n^3 == 0 (mod n).at n=18A300269