3784
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 7920
- Proper Divisor Sum (Aliquot Sum)
- 4136
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1680
- Möbius Function
- 0
- Radical
- 946
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 38
- 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
- Generalized sum of divisors function.at n=42A002132
- a(n) = 1000*log(n) rounded to the nearest integer.at n=43A004241
- a(n) = floor(tau*a(n-2)) + a(n-1) with a(0)=1 and a(1)=3.at n=13A005907
- Coordination sequence T3 for Zeolite Code LOV.at n=41A008136
- Coordination sequence T2 for Zeolite Code MFI.at n=39A008165
- Multiplicity of K_3 in K_n.at n=47A014557
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite NES = NU-87 H4[Al4Si64O136].nH2O starting with a T3 atom.at n=11A019204
- Vampire numbers: (definition 1): n has a nontrivial factorization using n's digits.at n=13A020342
- a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n+1-k), where k = [ (n+1)/2 ], p = A000040 = the primes.at n=17A024697
- a(n) = Sum_{k=1..n} k*floor( prime(k)/k ).at n=45A024927
- a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n-k+1), where k = [ n/2 ], p = A000040, the primes.at n=17A025129
- a(n) = (d(n)-r(n))/2, where d = A026054 and r is the periodic sequence with fundamental period (1,0,0,0).at n=30A026055
- Number of partitions of n that do not contain 3 as a part.at n=32A027337
- Numbers k such that k^2 is palindromic in base 7.at n=32A029992
- Number of rooted planar trees (n+1 nodes) where any 2 subtrees extending from same node are different.at n=11A032028
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 3 and 4 (mod 5).at n=52A035590
- Partial sums of primes congruent to 1 mod 6.at n=27A038349
- Denominators of continued fraction convergents to sqrt(978).at n=9A042893
- 4 times triangular numbers: a(n) = 2*n*(n+1).at n=43A046092
- a(n) = a(n-3) + a(n-5) with initial values 1,0,0,1,0.at n=54A052920