6522
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13056
- Proper Divisor Sum (Aliquot Sum)
- 6534
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2172
- Möbius Function
- -1
- Radical
- 6522
- 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
- 137
- 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
- Left diagonal of partition triangle A047812.at n=14A007044
- Sequence satisfies T(a)=a, where T is defined below.at n=50A027592
- [ n(n+1)(n+2)...(n+5) / (n+(n+1)+(n+2)+...+(n+5)) ].at n=6A032771
- Numbers whose base-5 representation contains exactly two 0's and three 2's.at n=33A045183
- Record subsequence of b(3k+1), b()=A048142().at n=28A051057
- Periods associated with A040017.at n=51A051627
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an isosceles integer triangle with integer area.at n=16A070145
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an acute integer triangle with integer area.at n=16A070146
- G.f.: (1+x^8+x^9+x^10+x^18)/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)*(1-x^6)*(1-x^7)).at n=55A097851
- Lesser of twin admirable numbers: k such that k and k+2 are both admirable numbers.at n=27A109730
- Numbers k for which 8*k+1, 8*k+5 and 8*k+7 are primes.at n=42A123980
- a(0)=1; for n > 0, a(n) = a(n-1) + a(prime(n)(mod n)), where prime(n) is the n-th prime.at n=30A127066
- 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, 0, 0), (0, 1, 1), (1, 0, 0), (1, 1, -1)}.at n=7A150246
- a(n) = 4*n^2 + 28*n + 10.at n=36A153644
- Integers whose binary digits "1" define, if sorted into a quadrant shape whose right angle lies in a Go board corner, same colored Go stones that surely live all, but not if any stone is omitted.at n=11A166537
- a(n) = 4*n^2 + 3*n + 2.at n=40A185669
- Number of "ON" cells at n-th stage of three-dimensional version of the cellular automaton A183060 using cubes.at n=38A186410
- Number of nondecreasing arrangements of 6 numbers x(i) in -(n+4)..(n+4) with the sum of sign(x(i))*x(i)^2 zero.at n=13A188006
- a(n) = Sum_{i+j+k=n, i,j,k >= 1} tau(i)*tau(j)*tau(k), where tau() = A000005().at n=24A191829
- Numbers n such that A193101(n) = 5.at n=16A193105