3066
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
- 16
- Divisor Sum
- 7104
- Proper Divisor Sum (Aliquot Sum)
- 4038
- 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
- 864
- Möbius Function
- 1
- Radical
- 3066
- 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
- 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
- 48
- 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
- Triangle of numbers related to triangle A049213; generalization of Stirling numbers of second kind A008277, Bessel triangle A001497.at n=33A000369
- Coordination sequence T2 for Zeolite Code HEU.at n=36A008117
- Coordination sequence T3 for Zeolite Code MEP.at n=33A008159
- Theta series of A_6 lattice.at n=9A008446
- Number of triples of different integers from [ 2,n ] with no global factor.at n=28A015618
- Expansion of g.f. 1/((1 - x)*(1 - 2*x)*(1 - 5*x)*(1 - 11*x)).at n=3A021154
- Convolution of Lucas numbers and A000201.at n=11A023621
- Theta series of A*_6 lattice.at n=45A023918
- a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/9) starts with n.at n=44A034074
- Multiplicity of highest weight (or singular) vectors associated with character chi_69 of Monster module.at n=46A034457
- Numbers k such that the string 7,6 occurs in the base 9 representation of k but not of k-1.at n=41A044320
- Numbers n such that string 6,6 occurs in the base 10 representation of n but not of n-1.at n=30A044398
- Numbers n such that string 6,6 occurs in the base 10 representation of n but not of n+1.at n=30A044779
- Numbers whose base-4 representation contains exactly three 2's and three 3's.at n=9A045151
- Number of nonnegative solutions of x1^2 + x2^2 + ... + x7^2 = n.at n=38A045849
- Integer averages of first k primes for some k.at n=3A050248
- Sum of remainders when n-th prime is divided by all preceding integers.at n=31A050482
- Generalized Stirling number triangle of first kind.at n=42A051339
- a(n) = 2*n^2 + 9*n - 5.at n=36A056237
- Numbers n such that n | 11^n + 10^n + 9^n + 8^n + 7^n + 6^n + 5^n + 4^n.at n=42A057492