6018
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
- 12960
- Proper Divisor Sum (Aliquot Sum)
- 6942
- 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
- 1856
- Möbius Function
- 1
- Radical
- 6018
- 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
- 41
- 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
- Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1.at n=33A000125
- Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (0,2).at n=7A003290
- 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 76.at n=14A031574
- Numbers congruent to 2,3,6,11 mod 12 missing from A042944 (conjectured to be finite).at n=30A042945
- Number of balanced partitions of n: the largest part equals the number of parts.at n=46A047993
- a(n) is the index of the smallest triangular number containing exactly n 1's.at n=5A048356
- a(n) = floor((5/4)^n).at n=39A065565
- a(n) = (4*n^3 + 6*n^2 + 8*n + 6)/3.at n=16A100504
- Shadow of N (natural numbers), also of Champernowne's shadow.at n=40A110623
- Self-describing sequence. See the sequence as a succession of digits: then a(n) is the position of a prime digit in the sequence.at n=45A114315
- Numbers k such that the k-th triangular number contains only digits {1,7,8}.at n=8A119147
- Poincaré series [or Poincare series] P(T_{4,2}; x).at n=9A124616
- Numbers k such that the first k decimal digits of Euler's constant gamma contain equal numbers of even and odd decimal digits.at n=43A175815
- Numbers k such that k^3 +-5 are primes.at n=26A176684
- Records in A087669.at n=25A192230
- G.f. satisfies: A(x) = (1 + x*A(x))*(1 + x^2*A(x)^3 + x^3*A(x)^4).at n=8A199247
- Values of the difference d for 5 primes in geometric-arithmetic progression with the minimal sequence {5*5^j + j*d}, j = 0 to 4.at n=38A209204
- Floor of the expected value of number of trials until all cells are occupied in a random distribution of 2n balls in n cells.at n=49A210024
- Integers n such that 6n -/+ 1 and 30n -/+ 1 are all primes.at n=42A216847
- a(n) is the number of digits in the decimal representation of the smallest power of n that contains eight consecutive identical digits.at n=17A217183