6558
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
- 13128
- Proper Divisor Sum (Aliquot Sum)
- 6570
- 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
- 2184
- Möbius Function
- -1
- Radical
- 6558
- 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
- 106
- 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
- a(n) = a(n-1) + a(n-6), with a(i) = 1 for i = 0..5.at n=38A005708
- Coordination sequence T1 for Keatite.at n=45A009844
- a(n) = floor(n*(n-1)*(n-2)/24).at n=55A011842
- Expansion of 1/(1 - x^6 - x^7 - x^8 - ...).at n=44A017900
- a(n) = prime(n)*prime(n-1) + 1.at n=22A023523
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-1)*a(1) for n >= 4.at n=10A025262
- Expansion of 1/((1-3x)(1-7x)(1-8x)(1-9x)).at n=3A028089
- 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 52.at n=40A031550
- Numbers having three 8's in base 9.at n=30A043487
- Numbers whose base-3 representation contains exactly one 0 and no 1's.at n=28A044970
- Number of words of length n in a simple grammar.at n=9A056010
- The sequence lambda(3,n), where lambda is defined in A055203. Number of ways of placing n identifiable positive intervals with a total of exactly three starting and/or finishing points.at n=8A058809
- Square array of lambda(k,n), where lambda is defined in A055203. Number of ways of placing n identifiable positive intervals with a total of exactly k starting and/or finishing points.at n=74A059117
- Numbers k such that 2^k mod k = 2^k mod k^2.at n=22A068535
- Sum of numbers in n-th upward diagonal of triangle in A079826.at n=34A079825
- a(n) = A088314(n) - A000009(n).at n=41A088571
- Expansion of (1+x)^(1/3)/(1+x-18*x^4)^(1/3).at n=14A098537
- Expansion of 1/(1-x-x^4-x^6).at n=25A120446
- Numbers k that are not powers of 2 such that 2^k mod k = 2^k mod k^2; or A068535 with powers of 2 excluded.at n=9A125773
- Fixed points of permutation A071661/A071662.at n=30A126312