3863
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3864
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 3862
- Möbius Function
- -1
- Radical
- 3863
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 144
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 536
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.at n=29A000353
- Smallest prime == 7 (mod 8) where Q(sqrt(-p)) has class number 2n+1.at n=30A002146
- a(n) = floor(n*phi^12), where phi is the golden ratio, A001622.at n=12A004927
- Coordination sequence T4 for Zeolite Code DAC.at n=39A008070
- Coordination sequence T1 for Zeolite Code LTN.at n=43A008140
- Coordination sequence T3 for Zeolite Code MOR.at n=40A008184
- Coordination sequence T1 for Zeolite Code PHI.at n=45A008227
- Molien series for A_6.at n=39A008629
- Coordination sequence T6 for Zeolite Code TER.at n=42A016438
- a(0)=0, a(1)=1, a(2)=2; for n > 2, a(n) = 3*a(n-1) - a(n-2) - 2*a(n-3).at n=12A027934
- Numbers having period-1 7-digitized sequences.at n=25A031201
- 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 61.at n=12A031559
- Lower prime of a pair of consecutive primes having a difference of 14.at n=22A031932
- Multiplicity of highest weight (or singular) vectors associated with character chi_51 of Monster module.at n=47A034439
- Number of partitions of n such that cn(3,5) < cn(0,5) = cn(1,5) <= cn(2,5) = cn(4,5).at n=66A036875
- Prime substrings of prime numbers in A037272.at n=10A037299
- Trajectory of 8 under prime factor concatenation procedure.at n=44A037920
- Let a (resp. b,c,d) be number of primes in the range {2..p} that end in 1 (resp. 3,7,9); sequence gives p such that a=d and b=c.at n=33A038562
- Number of partitions satisfying cn(2,5) <= cn(0,5) and cn(3,5) <= cn(0,5).at n=35A039863
- F-primes.at n=36A046872