6015
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9648
- Proper Divisor Sum (Aliquot Sum)
- 3633
- 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
- 3200
- Möbius Function
- -1
- Radical
- 6015
- 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
- 155
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MEI = ZSM-18 Nan[AlnSi34-nO68].28H2O (n=2.1-5.7) starting with a T3 atom.at n=12A019147
- Expansion of Product_{m>=1} (1+q^m)^(-3).at n=32A022598
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 15.at n=41A031513
- Every run of digits of n in base 14 has length 2.at n=34A033012
- Sums of 11 distinct powers of 2.at n=15A038462
- Number of partitions satisfying cn(0,5) < cn(1,5) + cn(4,5).at n=30A039842
- Numbers congruent to 2,3,6,11 mod 12 missing from A042944 (conjectured to be finite).at n=29A042945
- (s(n)+1)/9, where s(n)=n-th base 9 palindrome that starts with 8.at n=40A043079
- Positive integers having more base-14 runs of even length than odd.at n=36A044840
- Numbers whose base-4 representation contains exactly three 1's and four 3's.at n=1A045128
- Composite numbers n such that sigma(n+24) = sigma(n) + 24.at n=13A054983
- a(n) = s(2*n) where s(0) = 0, s(1) = s(2) = 1, s(n) = abs(Sum_{k=2..n-1} (-1)^k * s(n-k) * s(k)).at n=41A072851
- Smallest number that can be written in binary representation as concatenation of other primes in exactly n ways.at n=38A090424
- Numbers m such that numerator of Sum_{k=1..m} 1/(prime(k)-k) is prime.at n=41A092065
- a(n) = Sum_{i=1..n} (n-i+1)*phi(i).at n=38A103116
- Positions of 9 in partition of decimal expansion of Pi A104807.at n=17A104809
- McKay-Thompson series of class 32a for the Monster group.at n=32A107635
- Number of decimal digits in the 10^n-th Catalan number.at n=4A114466
- Multiples of 15 containing a 15 in their decimal representation.at n=30A121035
- Triangle read by rows where the n-th row is the first row of M^n, with M the (n+1)-by-(n+1) matrix with (3,1,3,1,3,1,...) on its main diagonal and (1,3,1,3,1,3,...) on its superdiagonal.at n=30A124573