6017
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6576
- Proper Divisor Sum (Aliquot Sum)
- 559
- 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
- 5460
- Möbius Function
- 1
- Radical
- 6017
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 186
- 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
- Centered octahedral numbers (crystal ball sequence for cubic lattice).at n=16A001845
- a(n) = C(n,1) + C(n,2) + C(n,3), or n*(n^2 + 5)/6.at n=33A004006
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=33A024842
- a(1) = 1; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=45A033680
- A variant of the recurrence for A001190.at n=16A038750
- Numbers n such that 109*2^n-1 is prime.at n=7A050580
- a(n) = T(n,n-6), array T as in A055818.at n=6A055823
- a(n) = T(2*n,n), array T as in A055818.at n=6A055824
- Number of 3 X 3 matrices, with elements from {0,...,n}, having the property that the middle element of each of the eight 3-element horizontal, vertical and diagonal lines equals the average of the two end elements.at n=32A059329
- Numbers k such that 2^k - 15 is prime.at n=21A059612
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 7 (most significant digit on right).at n=9A061960
- Composite numbers not divisible by 2 or 3 which in base 3 contain their largest proper factor as a substring.at n=11A063132
- Duplicate of A063132.at n=11A063874
- Semiprimes p1*p2 such that p2 > p1 and p2 mod p1 = 8.at n=33A064906
- a(n) = 5^n + 6^n + 8^n.at n=4A074572
- a(n) = (1/24)*(n+1)*(3*n^3+59*n^2+358*n+648).at n=11A090949
- a(n) is the number of integer lattice points inside the right triangle with legs 3n and 4n (and hypotenuse 5n).at n=31A126587
- Number of distinct means of nonempty subsets of {1,...,n}.at n=38A135342
- A144325(n) + A144313(n) + A144315(n).at n=12A144715
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 1, -1), (0, 0, 1), (1, 0, -1)}.at n=11A148003