3944
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 8100
- Proper Divisor Sum (Aliquot Sum)
- 4156
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1792
- Möbius Function
- 0
- Radical
- 986
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- 51
- 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
- Primitive pseudoperfect numbers.at n=54A006036
- Primitive nondeficient numbers.at n=42A006039
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VET = VPI-8 [Si17O34] starting with a T1 atom.at n=11A019247
- a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3).at n=30A024312
- a(n) = Sum_{k = 1..n} k*floor((n + prime(k))/k).at n=37A024929
- 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 31.at n=17A031529
- Concatenation of n and n + 5 or {n,n+5}.at n=38A032610
- Coordination sequence T1 for Zeolite Code CFI.at n=41A033599
- Coordination sequence T2 for Zeolite Code AWO.at n=43A038407
- Starting positions of strings of 2 2's in the decimal expansion of Pi.at n=37A050215
- Smallest number that can be expressed as the sum of distinct Lucas numbers (A000204) in exactly n ways.at n=47A055635
- n*M127 - 1 is prime, where M127 = 2^127 - 1.at n=35A057441
- Number of divisors of n equals the average of distinct prime factors of n.at n=19A067547
- Primitive abundant numbers (abundant numbers all of whose proper divisors are deficient numbers).at n=39A071395
- a(n) = 100*n + 44.at n=39A102438
- Even numbers of the form floor( binomial(2k, 2j)/binomial(k, j)).at n=5A111304
- Non-cubefree numbers k such that 2k+1 is also non-cubefree (A046099).at n=28A115170
- Conjectured list of numbers whose aliquot sequence eventually reaches a cycle of length two or more, but which are not themselves part of the cycle.at n=41A121508
- Numbers n such that 1 + n + n^3 + n^5 + n^7 + n^9 + n^11 + ... + n^37 + n^39 is prime.at n=40A124189
- Numbers n such that n^i (i=1..7) are all zeroless.at n=7A124648