3333
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- yes
- Repdigit
- yes
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4896
- Proper Divisor Sum (Aliquot Sum)
- 1563
- 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
- 2000
- Möbius Function
- -1
- Radical
- 3333
- 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
- 30
- 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
- Coefficient of q^(2n-1) in the series expansion of Ramanujan's mock theta function f(q).at n=36A000199
- a(n) = 3*(10^n - 1)/9.at n=4A002277
- a(n) = ceiling(1000*log(n)).at n=27A004242
- Pseudoprimes to base 10.at n=16A005939
- Coefficients of period polynomials.at n=24A006309
- Number of strict 7th-order maximal independent sets in path graph.at n=53A007386
- Coordination sequence T1 for Zeolite Code AFO.at n=38A008015
- Coordination sequence T1 for Zeolite Code AFS.at n=44A008023
- Coordination sequence T2 for Zeolite Code BOG.at n=41A008050
- Coordination sequence T3 for Zeolite Code BOG.at n=41A008051
- Repdigit numbers, or numbers whose digits are all equal.at n=30A010785
- Numbers > 9 with all digits the same.at n=20A014181
- Pseudoprimes to base 100.at n=26A020228
- Doublets: base-10 representation is the juxtaposition of two identical strings.at n=32A020338
- Expansion of (1+2*x+3*x^2+4*x^3+5*x^4)/(1-x-x^2-x^3-x^4-x^5).at n=11A023424
- Convolution of A023532 and primes.at n=45A023606
- n written in fractional base 6/3.at n=45A024636
- Number of partitions of n that do not contain 10 as a part.at n=28A027344
- Divisors of 99999999.at n=19A027890
- Divisors of 9999.at n=10A027894