3369
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
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4496
- Proper Divisor Sum (Aliquot Sum)
- 1127
- 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
- 2244
- Möbius Function
- 1
- Radical
- 3369
- 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
- 180
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n^2*(16*n^4-20*n^2+7)/3.at n=2A002594
- Numbers that are the sum of 3 positive 5th powers.at n=23A003348
- Numbers that are the sum of at most 3 positive 5th powers.at n=42A004843
- 11*n^2 + 11*n + 3.at n=17A006222
- Coordination sequence T3 for Zeolite Code BRE.at n=38A008060
- Positive integers k such that k-th triangular number is palindromic.at n=19A008509
- arcsinh(arcsin(x)-tan(x))=-1/3!*x^3-7/5!*x^5-47/7!*x^7+3369/9!*x^9...at n=3A013403
- exp(arcsinh(x)-tanh(x))=1+1/3!*x^3-7/5!*x^5+10/6!*x^6+47/7!*x^7...at n=9A013493
- Numbers k such that the continued fraction for sqrt(k) has period 74.at n=3A020413
- Discriminants of quintic fields with 4 complex conjugates.at n=11A023685
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = A014306.at n=29A024477
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = A014306.at n=28A025097
- a(n) = Sum_{k=0..floor(n/2)} T(n-k,k), T given by A026769.at n=15A026779
- 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=21A031536
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 36 ones.at n=5A031804
- Number of partitions satisfying (cn(2,5) = cn(3,5) = 0 and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)).at n=51A036823
- Numbers whose maximal base-6 run length is 4.at n=22A037987
- Denominators of continued fraction convergents to sqrt(460).at n=8A041877
- Numbers having four 3's in base 6.at n=2A043384
- Numbers k such that the string 5,3 occurs in the base 9 representation of k but not of k-1.at n=46A044299