3482
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5226
- Proper Divisor Sum (Aliquot Sum)
- 1744
- 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
- 1740
- Möbius Function
- 1
- Radical
- 3482
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 30
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Take solution to Pellian equation x^2 - n*y^2 = 1 with smallest positive y and x >= 0; sequence gives a(n) = x, or 1 if n is a square. A002349 gives values of y.at n=42A002350
- Solution to a Pellian equation: least x such that x^2 - n*y^2 = +- 1.at n=42A006702
- Solution to Pellian: x such that x^2 - n y^2 = +- 1, +- 4.at n=42A006704
- Coordination sequence T2 for Zeolite Code ERI.at n=43A008094
- Shifts 5 places right under inverse binomial transform.at n=12A010749
- First coordinate of fundamental unit of real quadratic field with discriminant A003658(n), n >= 2.at n=51A014000
- Value of x corresponding to the minimal solution of the Pell equation x^2+d*y^2, as d runs through the squarefree numbers.at n=27A023677
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=32A024834
- Smallest positive integer x satisfying the Pell equation x^2 - D*y^2 = 1 for nonsquare D and positive y.at n=36A033313
- Zeckendorf expansion of n: repeatedly subtract the largest Fibonacci number you can until nothing remains. Big-endian concatenation of decimals.at n=44A035514
- Least k such that k-th and (k+1)-st term of A038593 are the first consecutive pair that differ by n.at n=49A038642
- Numerators of continued fraction convergents to sqrt(43).at n=9A041072
- Numerators of continued fraction convergents to sqrt(387).at n=5A041734
- Base-6 palindromes that start with 2.at n=38A043011
- Numbers k such that the string 8,8 occurs in the base 9 representation of k but not of k-1.at n=42A044331
- Numbers n such that string 8,2 occurs in the base 10 representation of n but not of n-1.at n=37A044414
- Numbers n such that string 8,2 occurs in the base 10 representation of n but not of n+1.at n=37A044795
- Sum of squares of odd divisors of n.at n=58A050999
- Write fundamental unit for real quadratic field of discriminant n as x + y*omega; sequence gives values of x for n == 3 mod 4.at n=9A053372
- McKay-Thompson series of class 30E for Monster.at n=27A058616