3943
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3944
- 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
- 3942
- Möbius Function
- -1
- Radical
- 3943
- 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
- 175
- 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
- 547
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that k! - (k-1)! + (k-2)! - (k-3)! + ... - (-1)^k*1! is prime.at n=17A001272
- From relations between Siegel theta series.at n=46A006476
- Coordination sequence for sigma-CrFe, Position Xb.at n=16A009960
- Numbers k such that the continued fraction for sqrt(k) has period 92.at n=3A020431
- Primes that remain prime through 3 iterations of function f(x) = 3x + 10.at n=26A023280
- 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=20A031559
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 38 ones.at n=8A031806
- Upper prime of a difference of 12 between consecutive primes.at n=38A031931
- Concatenation of n and n + 4 or {n,n+4}.at n=38A032609
- Primes that are concatenations of k with k + 4.at n=5A032627
- Lucky numbers that are concatenations of n with n + 4.at n=5A032654
- Primes p such that Ramanujan function tau(p) is divisible by 13.at n=32A038543
- Primes with indices that are primes with prime indices.at n=25A038580
- Numbers whose base-5 representation contains exactly three 1's and two 3's.at n=20A045246
- Number of unsymmetrical catafusenes with n hexagons (see reference for precise definition).at n=7A045909
- Primes prime(k) for which A049076(k) = 3.at n=16A049079
- Numbers n such that 69*2^n-1 is prime.at n=40A050560
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 5.at n=42A050667
- Numbers n such that 265*2^n-1 is prime.at n=17A050891
- Primes p such that x^27 = 2 has no solution mod p, but x^9 = 2 has a solution mod p.at n=0A059354