3827
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3960
- Proper Divisor Sum (Aliquot Sum)
- 133
- 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
- 3696
- Möbius Function
- 1
- Radical
- 3827
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 82
- 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
- Coordination sequence T2 for Zeolite Code MEI.at n=45A008147
- Coordination sequence T4 for Zeolite Code MTT.at n=38A008192
- Coordination sequence T4 for Zeolite Code DFO.at n=47A009878
- Coordination sequence T2 for Zeolite Code VNI.at n=38A009908
- a(0) = 1, a(n) = 17*n^2 + 2 for n>0.at n=15A010007
- a(n) = n*(2*n + 3).at n=43A014106
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 61.at n=8A031559
- Numbers whose base-3 representation Sum_{i=0..m} d(i)*3^i has d(m) < d(m-1) > d(m-2) < ...at n=42A032841
- Coordination sequence Z12 for Zeolite Code STT.at n=41A038416
- Denominators of continued fraction convergents to sqrt(534).at n=7A042021
- Numbers having three 2's in base 9.at n=28A043463
- Numbers whose base-4 representation contains exactly one 0 and four 3's.at n=28A045070
- Numbers whose base-4 representation contains no 1's and exactly four 3's.at n=32A045113
- Numbers whose base-4 representation contains exactly one 2 and four 3's.at n=32A045142
- a(n) = 1 + Sum_{i=1..n} phi(i)^2.at n=29A049454
- Positions at which powers of 2 occur in A057929. (Or -1 if it does not occur.)at n=18A057931
- McKay-Thompson series of class 42d for Monster.at n=41A058678
- Composite n such that sigma(n)-phi(n) divides sigma(n)+phi(n).at n=35A061367
- Numbers n such that phi(phi(n)) = phi(sigma(n)) where phi is Euler's totient and sigma is the multiplicative sum-of-divisors function.at n=38A065555
- a(n) = largest number m such that A024936(m) is n.at n=43A068308