3835
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5040
- Proper Divisor Sum (Aliquot Sum)
- 1205
- 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
- 2784
- Möbius Function
- -1
- Radical
- 3835
- 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
- 131
- 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
- no
- Odd
- yes
Appears in sequences
- Molien series for alternating group Alt_8 (or A_8).at n=33A008631
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (F(2), F(3), ...), t = A001950 (upper Wythoff sequence).at n=16A024594
- 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 11.at n=35A031509
- Numbers each of whose runs of digits in base 12 has length 2.at n=28A033010
- Multiplicity of highest weight (or singular) vectors associated with character chi_156 of Monster module.at n=39A034544
- Number of binary rooted trees with n nodes and height exactly 10.at n=16A036599
- Sums of 10 distinct powers of 2.at n=35A038461
- Base-4 palindromes that start with 3.at n=37A043005
- Positive integers having more base-12 runs of even length than odd.at n=30A044838
- Numbers whose base-4 representation contains no 1's and exactly four 3's.at n=33A045113
- Numbers whose base-4 representation contains exactly two 2's and four 3's.at n=7A045147
- Sum of first n lucky numbers.at n=40A046279
- Sum{T(i,n-i): i=0,1,...,n}, array T as in A047030.at n=13A047031
- Coordination sequence T3 for Zeolite Code ISV.at n=43A047960
- Positions in decimal expansion of Pi where next prime begins.at n=17A053013
- Number of binary n X n matrices with no zero rows or columns, up to row and column permutation.at n=4A054976
- Number of 5 X n binary matrices with no zero rows or columns, up to row and column permutation.at n=4A055083
- Triangular array giving number of bipartite graphs with n vertices, no isolated vertices and a distinguished bipartite block with k=1..n-1 vertices, up to isomorphism.at n=40A056152
- a(n) = Sum_{d|n} sigma(d)^2.at n=27A065018
- Take pairs (x,y) with Sum_{j = x..y} j = concatenation of x and y. Sort pairs on y then x. This sequence gives y of each pair.at n=14A070153