3882
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7776
- Proper Divisor Sum (Aliquot Sum)
- 3894
- 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
- 1292
- Möbius Function
- -1
- Radical
- 3882
- Omega Function (Ω)
- 3
- 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
- 100
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = 2 * Sum_{i=0..n} C(2^n-1, i).at n=4A001527
- Number of partitions of n into Fibonacci parts (with 2 types of 1).at n=30A007000
- Number of homogeneous primitive partition identities of degree 6 with largest part n.at n=11A007344
- Coordination sequence T1 for Zeolite Code AFO.at n=41A008015
- Coordination sequence T6 for Zeolite Code MEL.at n=40A008155
- Coordination sequence for Paracelsian.at n=42A008260
- Coordination sequence T5 for Zeolite Code CON.at n=44A009872
- n is equal to the number of 2's in all numbers <= n written in base 6.at n=4A014891
- Numbers whose sum of divisors is a fifth power.at n=8A019423
- Numbers k such that Fibonacci(k) == -8 (mod k).at n=40A023166
- Integer part of ((4th elementary symmetric function of 1,2,..,n)/(2nd elementary symmetric function of 1,2,...,n)).at n=20A024173
- Theta series of 6-dimensional lattice of det 8.at n=32A029543
- Size of lexicographic code of length n, Hamming distance 6 and weight 6.at n=35A031504
- Numerators of continued fraction convergents to sqrt(345).at n=8A041652
- Integers whose sum of divisors is 6^5 = 7776.at n=3A048255
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 24.at n=24A051989
- Numbers k such that 2^k + 15 is prime.at n=37A057197
- Maximal number of regions into which 4-space can be divided by n hyperspheres.at n=16A059173
- Numbers which are the sum of their proper divisors containing the digit 4.at n=7A059463
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 59 ).at n=27A063332