3847
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
- 2
- Divisor Sum
- 3848
- 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
- 3846
- Möbius Function
- -1
- Radical
- 3847
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 533
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Euclid-Mullin sequence: a(1) = 2, a(n+1) is smallest prime factor of 1 + Product_{k=1..n} a(k).at n=33A000945
- Prefix (or Levenshtein) codes for natural numbers.at n=23A010097
- Numbers k such that the continued fraction for sqrt(k) has period 72.at n=6A020411
- Initial members of prime triples (p, p+4, p+6).at n=36A022005
- 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=9A031559
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 28 ones.at n=28A031796
- Upper prime of a difference of 14 between consecutive primes.at n=21A031933
- Concatenation of n and n + 9 or {n,n+9}.at n=37A032614
- Primes that are decimal concatenations of n with n + 9.at n=5A032632
- Lucky numbers that are concatenations of n with n + 9.at n=5A032659
- Numerators of continued fraction convergents to sqrt(154).at n=7A041282
- Numerators of continued fraction convergents to sqrt(616).at n=7A042182
- Denominators of continued fraction convergents to sqrt(964).at n=8A042865
- Discriminants of imaginary quadratic fields with class number 23 (negated).at n=12A046020
- Coordination sequence T2 for Zeolite Code ISV.at n=43A047959
- Primes of the form k^2 + 3.at n=11A049423
- Primes p such that p+4 and p+16 are also primes.at n=36A049492
- Numbers n such that n and n+4^k are all primes for k=1,2,3.at n=17A049493
- Starting positions of strings of 2 1's in the decimal expansion of Pi.at n=39A050208
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 5.at n=40A050667