3383
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
- 3600
- Proper Divisor Sum (Aliquot Sum)
- 217
- 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
- 3168
- Möbius Function
- 1
- Radical
- 3383
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 136
- 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) = floor(n*phi^11), where phi is the golden ratio, A001622.at n=17A004926
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=17A004946
- a(n) = Sum_{k=0..floor(n/4)} binomial(n-2k,2k).at n=19A005252
- Coordination sequence T12 for Zeolite Code MFI.at n=37A008164
- Coordination sequence T8 for Zeolite Code TER.at n=39A016440
- Numbers whose square has its digits in nondecreasing order.at n=38A028819
- 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 57.at n=14A031555
- Number of partitions satisfying (cn(2,5) <= cn(1,5) and cn(3,5) <= cn(1,5) and cn(2,5) <= cn(4,5) and cn(3,5) <= cn(4,5)).at n=35A036802
- Number of partitions satisfying cn(1,5) + cn(4,5) < cn(0,5) + cn(2,5) + cn(3,5).at n=31A039868
- Denominators of continued fraction convergents to sqrt(137).at n=9A041251
- Denominators of continued fraction convergents to sqrt(151).at n=9A041277
- Denominators of continued fraction convergents to sqrt(604).at n=13A042159
- Numbers having three 3's in base 10.at n=22A043503
- Numbers k such that the string 6,8 occurs in the base 9 representation of k but not of k-1.at n=45A044313
- Numbers n such that string 8,3 occurs in the base 10 representation of n but not of n-1.at n=36A044415
- Numbers k such that string 8,3 occurs in the base 10 representation of k but not of k+1.at n=36A044796
- Numbers having, in base 15, (sum of even run lengths)=(sum of odd run lengths).at n=7A044886
- Number of increasing arithmetic progressions in {1,2,3,...,n}, including trivial arithmetic progressions of lengths 1 and 2.at n=43A051336
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 20.at n=26A051985
- Indices of primes in sequence defined by A(0) = 77, A(n) = 10*A(n-1) - 3 for n > 0. Numbers n such that (690*10^n + 3)/9 is prime.at n=6A056260