3363
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4800
- Proper Divisor Sum (Aliquot Sum)
- 1437
- 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
- 2088
- Möbius Function
- -1
- Radical
- 3363
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 43
- 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
- a(n) = 4*n^2 - 1.at n=29A000466
- Pell-Lucas numbers: numerators of continued fraction convergents to sqrt(2).at n=10A001333
- a(n) = (4*n+1)*(4*n+3).at n=14A001539
- a(0) = 1, a(1) = 3; for n > 1, a(n) = 6*a(n-1) - a(n-2).at n=5A001541
- Interleave denominators (A000129) and numerators (A001333) of convergents to sqrt(2).at n=21A002965
- Pseudoprimes to base 58.at n=21A020186
- Number of partitions of 1/n into 4 reciprocals of positive integers.at n=7A020327
- Lucky numbers with size of gaps equal to 8 (upper terms).at n=39A031891
- Lucky numbers with size of gaps equal to 18 (lower terms).at n=22A031900
- Floor( 7*n^2/2 ).at n=31A032525
- Numbers whose set of base-6 digits is {2,3}.at n=43A032806
- Least D in the Pellian x^2 - D*y^2 = 1 for which x has least solution n.at n=56A033314
- Coordination sequence T1 for Zeolite Code SBS.at n=46A033608
- Number of different values of i^2 + j^2 + k^2 for i,j,k in [ 0,n ] (or [ -n,n ]).at n=42A034966
- Number of partitions of n into parts 4k or 4k+1.at n=52A035362
- Number of partitions satisfying (cn(1,5) <= cn(2,5) and cn(1,5) <= cn(3,5) and cn(4,5) <= cn(2,5) and cn(4,5) <= cn(3,5)).at n=37A036803
- Numerators of continued fraction convergents to sqrt(8).at n=9A041010
- Denominators of continued fraction convergents to sqrt(840).at n=5A042623
- Numbers having three 3's in base 10.at n=20A043503
- Numbers n such that string 6,3 occurs in the base 10 representation of n but not of n-1.at n=36A044395