3897
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 5642
- Proper Divisor Sum (Aliquot Sum)
- 1745
- 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
- 2592
- Möbius Function
- 0
- Radical
- 1299
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 144
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T6 for Zeolite Code DDR.at n=39A008076
- a(n) = floor( n*(n-1)*(n-2)/19 ).at n=43A011901
- Expansion of 1/((1-4*x)*(1-6*x)*(1-11*x)).at n=3A019488
- a(n) = T(n,n+1) + T(n,n+2) + ... + T(n,2n), T given by A027082.at n=7A027108
- Composite numbers whose prime factors contain no digits other than 3 and 4.at n=13A036314
- Denominators of continued fraction convergents to sqrt(366).at n=9A041693
- Denominators of continued fraction convergents to sqrt(468).at n=11A041893
- Numbers that are the product of 3 prime factors whose concatenation is a palindrome.at n=16A046452
- Numbers n such that 105*2^n-1 is prime.at n=25A050578
- Number of primitive subsequences of {1, 2, ..., n}.at n=18A051026
- a(n)=Sum_{d|n} d*numbpart(d), where numbpart(d)=number of partitions of d, cf. A000041.at n=15A061259
- Numbers of form 2^i*3^j + (i+j) with i, j >= 0.at n=53A069357
- a(1) = 3; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=28A074339
- Average of three successive primes squared, (prime(n)^2+prime(n+1)^2+prime(n+2)^2)/3, n>=3.at n=14A075893
- Numbers j such that j divides the sum of the digits of j!.at n=17A108825
- Coefficients of replicable function number "54b".at n=55A112193
- Nonprime terms of A115558.at n=41A115559
- Start with 1015 and repeatedly reverse the digits and add 4 to get the next term.at n=86A117807
- Numbers k for which 8*k+1, 8*k+5 and 8*k+7 are primes.at n=28A123980
- Lucky numbers (A000959) which are congruent to 5 mod 7.at n=40A137187