3894
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 8640
- Proper Divisor Sum (Aliquot Sum)
- 4746
- 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
- 1160
- Möbius Function
- 1
- Radical
- 3894
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 82
- 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
- Numbers k where |cos(k)| (or |cosec(k)| or |cot(k)|) decreases monotonically to 0; also numbers k where |tan(k)| (or |sec(k)|, or |sin(k)|) increases.at n=16A004112
- Octahedral numbers: a(n) = n*(2*n^2 + 1)/3.at n=18A005900
- Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2).at n=34A005993
- Coordination sequence T4 for Zeolite Code DDR.at n=39A008074
- Coordination sequence for CaF2(1), Ca position.at n=21A009923
- a(n) = floor( n*(n-1)*(n-2)/11 ).at n=36A011893
- Numbers k such that phi(k) | sigma_14(k).at n=16A015773
- Expansion of Product_{m>=1} (1+m*q^m)^-22.at n=4A022714
- Least k such that tan(k) > tan(a(n-1)), for n >= 1, where a(0) = 0.at n=27A024814
- a(n) = (d(n)-r(n))/5, where d = A026063 and r is the periodic sequence with fundamental period (1,4,0,0,0).at n=38A026065
- Expansion of Molien series for 4-D extraspecial group 2^{1+2*2}.at n=35A030533
- Numbers having period-1 5-digitized sequences.at n=39A031187
- Numbers k such that 43^k - 42 is prime.at n=7A034923
- Number of partitions of n such that cn(0,5) = cn(2,5) < cn(3,5) = cn(4,5) <= cn(1,5).at n=55A036854
- Let F(x) = 1 + 1*x + 4*x^2 + 10*x^3 + ..., the g.f. for A000293 (solid partitions), and write F(x) = 1/Product_{n>=1} (1 - x^n)^a(n).at n=20A037452
- Sin(n) decreases monotonically to -1.at n=10A046964
- Coordination sequence T3 for Zeolite Code AEN.at n=39A047952
- Numbers n such that 101*2^n-1 is prime.at n=6A050576
- Number of 3 X n binary matrices such that any 2 rows have a common 1, up to column permutations.at n=8A052387
- Numbers k such that floor(tan(k)) > floor(tan(m)) for all m < k.at n=24A063537