3297
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5056
- Proper Divisor Sum (Aliquot Sum)
- 1759
- 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
- 1872
- Möbius Function
- -1
- Radical
- 3297
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 123
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- no
- Odd
- yes
Appears in sequences
- G.f.: (1 + x^3 + x^4 + ... + x^12 + x^15)/Product_{i=1..10} (1 - x^i).at n=23A003403
- Coordination sequence T8 for Zeolite Code PAU.at n=42A008226
- sech(sec(x)*arctanh(x))=1-1/2!*x^2-15/4!*x^4-225/6!*x^6+3297/8!*x^8...at n=4A012852
- a(n) = b(n) - c(n) where b(n) = [ (3/2)^n ] and c(n) is the n-th number not in sequence b.at n=19A014250
- Erroneous version of A269484.at n=7A014277
- a(n) = n*(15*n - 1)/2.at n=21A022272
- a(n) = Sum_{k = 1..n} k*floor((n + prime(k))/k).at n=34A024929
- 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 38.at n=18A031536
- Lucky numbers with size of gaps equal to 8 (upper terms).at n=38A031891
- Number of compositions (ordered partitions) of n into distinct parts.at n=22A032020
- Number of partitions satisfying (cn(0,5) = cn(2,5) = cn(3,5) and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)).at n=49A036821
- Numbers k such that the string 6,3 occurs in the base 9 representation of k but not of k-1.at n=44A044308
- Numbers n such that string 9,7 occurs in the base 10 representation of n but not of n-1.at n=35A044429
- Numbers n such that string 9,7 occurs in the base 10 representation of n but not of n+1.at n=35A044810
- Numbers with multiplicative persistence value 5.at n=39A046514
- Numbers k such that x^k + x^7 + 1 is irreducible over GF(2).at n=35A057477
- Trajectory of 19 under the `19x+1' map.at n=39A057685
- In base n, a(n) is the smallest number m that leads to a palindrome-free sequence, using the following process: start with m; reverse the digits and add it to m, repeat. Stop if you reach a palindrome.at n=15A060382
- a(n) is the conjectured value of the minimal number to which repeated application of the "reverse and add!" algorithm in base n does not terminate in a palindrome. If there is no such number in base n, then a(n) := -1.at n=15A066450
- a(1) = 7; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=25A074343