3853
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
- 2
- Divisor Sum
- 3854
- 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
- 3852
- Möbius Function
- -1
- Radical
- 3853
- 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
- 51
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 535
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of points of norm <= n^2 in square lattice.at n=35A000328
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=29A007354
- Coordination sequence T3 for Zeolite Code DOH.at n=38A008080
- Coordination sequence T1 for Zeolite Code MOR.at n=40A008182
- Prefix (or Levenshtein) codes for natural numbers.at n=29A010097
- Molien series of 4-dimensional representation of u.g.g.r. #9.at n=10A013977
- Molien series of 4-dimensional representation of u.g.g.r. #8.at n=20A013978
- Coordination sequence T3 for Zeolite Code CGF.at n=43A019453
- Numbers k such that the continued fraction for sqrt(k) has period 13.at n=24A020352
- Primes that remain prime through 2 iterations of function f(x) = 5x + 2.at n=43A023252
- Primes that remain prime through 2 iterations of the function f(x) = 8*x + 5.at n=28A023262
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A004432.at n=38A024809
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 41.at n=0A031629
- Lower prime of a difference of 10 between consecutive primes.at n=51A031928
- The 20 primes inside the 4 X 4 matrix with all the rows, columns and major diagonals being reversible non-palindromic and distinct primes (the smallest prime-magical square): [ 1933, 1283, 9551, 3719 ].at n=12A032530
- Primes of form x^2+29*y^2.at n=35A033219
- Primes of form x^2+69*y^2.at n=30A033244
- Number of partitions of n into parts not of the form 21k, 21k+6 or 21k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=29A035984
- Denominators of continued fraction convergents to sqrt(251).at n=8A041471
- Coordination sequence T2 for Zeolite Code MSO.at n=43A047964