6005
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7212
- Proper Divisor Sum (Aliquot Sum)
- 1207
- 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
- 4800
- Möbius Function
- 1
- Radical
- 6005
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 49
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15).at n=39A017846
- Integer part of Gamma(n+1/9)/Gamma(1/9).at n=9A020069
- Sequence satisfies T(a)=a, where T is defined below.at n=51A027597
- Multiplicity of highest weight (or singular) vectors associated with character chi_134 of Monster module.at n=37A034522
- Number of partitions of n with equal number of parts congruent to each of 0, 2 and 3 (mod 5).at n=50A035575
- a(n) = 2i + 1 where i is the least index such that A039508(i) = A039509(n).at n=12A039510
- Denominators of continued fraction convergents to sqrt(380).at n=4A041721
- McKay-Thompson series of class 30d for Monster.at n=30A058625
- Index of smallest Fibonacci number beginning with the n-th Fibonacci number other than itself.at n=18A072520
- Number of ways to get ten-pin bowling score of 300-n.at n=42A079596
- a(n) = 4*n^2 + 6*n + 1.at n=38A082108
- a(n) = (A085249(n) - 1)/6.at n=13A088349
- Antidiagonal sums in A101321.at n=19A101338
- Triangle read by rows: T(n,k) is the number of ordered trees with n edges and having k branches of odd length (n>=0, 0<=k<=n).at n=69A102003
- Largest member z of a triple 0<x<y<z such that z^2-y^2, z^2-x^2 and y^2-x^2 are perfect squares.at n=33A111105
- Members of 3-cycles of permutation A111273.at n=4A113701
- Numbers of the form k^2 - k - 1 whose digit sum is also a number of the form k^2 - k - 1.at n=29A117746
- Composite numbers k such that k+d+1 is prime for all divisors d of k greater than 1.at n=41A120776
- a(n) = 2^(2n-1) - (n+2)*3^(n-2).at n=6A125586
- Numbers k such that k and k^2 use only the digits 0, 2, 3, 5 and 6.at n=37A136888