3003
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 5376
- Proper Divisor Sum (Aliquot Sum)
- 2373
- 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
- 1440
- Möbius Function
- 1
- Radical
- 3003
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- 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
- 40
- 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
- Hexagonal numbers: a(n) = n*(2*n-1).at n=39A000384
- Binomial coefficients C(n,5).at n=15A000389
- Figurate numbers or binomial coefficients C(n,6).at n=14A000579
- a(n) = binomial coefficient C(n,8).at n=6A000581
- Central factorial numbers: A008955(n,2).at n=4A000596
- a(n) = binomial coefficient C(n,10).at n=5A001287
- a(n) = binomial coefficient C(2n, n-1).at n=7A001791
- Numerators in expansion of (1 - x)^(-3/2).at n=6A001803
- Binomial coefficients C(2*n+5,5).at n=5A002299
- Odd squarefree numbers with an even number of prime factors that have no prime factors greater than 31.at n=53A002557
- Numbers that occur 5 or more times in Pascal's triangle.at n=4A003015
- Palindromic triangular numbers.at n=9A003098
- Binomial coefficients C(2n+1, n-2).at n=5A003516
- Discriminants of the known imaginary quadratic fields with 1 class per genus (a finite sequence).at n=62A003644
- Degrees of irreducible representations of alternating group A_13.at n=21A003868
- Degrees of irreducible representations of symmetric group S_13.at n=40A003877
- Degrees of irreducible representations of symmetric group S_13.at n=39A003877
- Degrees of irreducible representations of Fischer group Fi22.at n=5A003913
- Binomial coefficient C(6n,n-11).at n=2A004366
- a(0) = 1; thereafter a(n) = denominator of (n-2)!! / (n-1)!!.at n=14A004731