6567
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9600
- Proper Divisor Sum (Aliquot Sum)
- 3033
- 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
- 3960
- Möbius Function
- -1
- Radical
- 6567
- 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
- 75
- Smith Number
- yes
- 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
- Numbers that are the sum of 9 positive 7th powers.at n=27A003376
- Numbers that are the sum of 7 nonzero 8th powers.at n=8A003385
- a(n) = floor(n*phi^11), where phi is the golden ratio, A001622.at n=33A004926
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=33A004946
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=35A024841
- 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 27.at n=29A031525
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 27.at n=2A031705
- Lucky numbers that are concatenations of n with n + 2.at n=7A032652
- Growth function of an infinite cubic graph (number of nodes at distance <=n from fixed node).at n=24A038621
- Numbers having three 0's in base 9.at n=13A043455
- Second pentagonal numbers with even index: a(n) = n*(6*n+1).at n=33A049453
- Let b(0)=1; b(1)=1; b(n+2)=(e^g+1/e^g)*b(n+1)-b(n). a(n)=floor(b(n)).at n=16A093608
- Shadow of sqrt(2).at n=36A110557
- Indices of prime Padovan numbers: values of k such that A000931(k+5) is prime.at n=20A112882
- <h[d+1,d-1],s[d,d]*s[d,d]*s[d,d]> where h[d+1,d-1] is a homogeneous symmetric function, s[d,d] is a Schur function indexed by two parts, * represents the Kronecker product and <, > is the standard scalar product on symmetric functions.at n=27A115376
- Binomial transform of the "1,2,3,..." triangle.at n=50A125027
- Right-angled numbers with an internal digit as the vertex.at n=37A135602
- Number of planar triangular n X n X n nonnegative integer grids symmetric under 120 degree rotation with every similarly oriented 5 X 5 X 5 subtriangle summing to 14.at n=2A154090
- a(n) = 729*n^2 + 2*n.at n=2A158396
- Numbers of the form p*q*r, where p < q < r are odd primes such that r = +/-1 (mod p*q).at n=38A160353