4417
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5056
- Proper Divisor Sum (Aliquot Sum)
- 639
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3780
- Möbius Function
- 1
- Radical
- 4417
- 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
- 95
- 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 that are the sum of 7 positive 6th powers.at n=39A003363
- Divisors of 2^45 - 1.at n=10A003550
- Coordination sequence T1 for Zeolite Code APC.at n=46A008032
- Number of partitions of n into at most 8 parts.at n=34A008637
- Coordination sequence T2 for Keatite.at n=37A009845
- Numbers k that divide s(k), where s(1)=1, s(j)=21*s(j-1)+j.at n=25A014872
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite CHA = Chabazite Ca6[ Al12Si24O72 ] . 40 H2O.at n=5A018998
- Pseudoprimes to base 43.at n=44A020171
- Pseudoprimes to base 44.at n=33A020172
- Strong pseudoprimes to base 43.at n=9A020269
- Numbers k such that the continued fraction for sqrt(k) has period 78.at n=4A020417
- Discriminants of quintic fields with 4 complex conjugates.at n=17A023685
- Least m such that if r and s in {1/4, 1/8, 1/12, ..., 1/4n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=25A024839
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/(2*n)} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=24A024845
- Number of partitions of n in which the greatest part is 8.at n=42A026814
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 38 ones.at n=13A031806
- Numbers whose set of base-16 digits is {1,4}.at n=16A032828
- Sums of 4 distinct powers of 4.at n=22A038472
- Numerators of continued fraction convergents to sqrt(138).at n=7A041252
- Numerators of continued fraction convergents to sqrt(552).at n=3A042056