6471
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 9360
- Proper Divisor Sum (Aliquot Sum)
- 2889
- 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
- 4308
- Möbius Function
- 0
- Radical
- 2157
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 168
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Positions of remoteness 4 in Beans-Don't-Talk.at n=26A005696
- [ exp(1/4)*n! ].at n=6A030975
- Floor( 7*n^2/2 ).at n=43A032525
- Lucky numbers that are decimal concatenations of n with n + 7.at n=6A032657
- Multiplicity of highest weight (or singular) vectors associated with character chi_139 of Monster module.at n=38A034527
- Denominators of continued fraction convergents to sqrt(660).at n=8A042269
- Denominators of continued fraction convergents to sqrt(790).at n=9A042523
- Numbers n such that prime(n) == -1 (mod n).at n=12A045924
- Duplicate of A045924.at n=12A049204
- Bond percolation series for square lattice near a wall.at n=18A056532
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 71 ).at n=31A063344
- Values of transition of A072608(n) from alternating behavior (0,1,0,1,..) into steadily-1 (1,1,1,..) behavior or changing back. Expressing in terms of A072609(n): at n values it switches from steadily 0 into steadily 1 successive values or back.at n=14A072610
- a(1) = 8; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=43A074344
- Interprimes which are of the form s*prime, s=9.at n=18A075284
- Numbers k that divide prime(k)+1 or prime(k)-1.at n=20A078931
- Integer quotients pi(m*prime(m))/m.at n=6A084298
- Numbers in increasing order such that successive sums are squares and successive differences are squarefree.at n=43A090956
- Number of partitions of n^2 into squares not less than n.at n=34A093116
- a(n) = sum of lengths of strings that can be generated by any starting string of n 2's and 3's that starts with a 2, using the rule described in the Comments lines.at n=9A093369
- Total number of edges in all rooted trees on n nodes.at n=9A095350