6630
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
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 18144
- Proper Divisor Sum (Aliquot Sum)
- 11514
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1536
- Möbius Function
- -1
- Radical
- 6630
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 75
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = floor(n(n+2)(2n+1)/8).at n=29A002717
- a(n) = (2^n/n!)*Product_{k=0..n-1} (4*k + 5).at n=4A004985
- a(n+1) = a(n)-th composite number, with a(0) = 1.at n=30A006508
- Solution to Pellian: y such that x^2 - n*y^2 = +-1.at n=75A006703
- Denominator of (2n+1) B_{2n}, where B_n are the Bernoulli numbers.at n=24A006955
- Triangle of D'Arcais numbers.at n=52A008298
- Number of partitions of n into at most 8 parts.at n=37A008637
- a(n) = n*(n+1)*(2*n+1)*(3*n+1)*(4*n+1)/6.at n=4A011197
- a(n) = floor( n*(n-1)*(n-2)/20 ).at n=52A011902
- Poincaré series [or Poincare series] (or Molien series) for mod 2 cohomology of universal W-group W(3).at n=14A014696
- Areas of right triangles with coprime integer sides.at n=34A024365
- Ordered areas of primitive Pythagorean triangles.at n=36A024406
- a(n) = Sum_{k = 1..n} k*floor((n + prime(k))/k).at n=48A024929
- Number of partitions of n in which the greatest part is 8.at n=45A026814
- Smallest positive integer y satisfying the Pell equation x^2 - D*y^2 = 1 for nonsquare D.at n=67A033317
- Expansion of (x^3+2*x+1) / ((x-1)^4*(x^2+x+1)^2).at n=42A038391
- Denominators of continued fraction convergents to sqrt(76).at n=11A041135
- Products of exactly 5 distinct primes.at n=11A046387
- T(n,n+2), array T as in A047100.at n=7A047107
- Numbers n such that 41*2^n-1 is prime.at n=14A050546