6108
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14280
- Proper Divisor Sum (Aliquot Sum)
- 8172
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2032
- Möbius Function
- 0
- Radical
- 3054
- Omega Function (Ω)
- 4
- 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
- 155
- 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
- yes
- Odd
- no
Appears in sequences
- [ sqrt(3/2)^n ].at n=43A014215
- Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite).at n=18A025513
- a(n) = (d(n)-r(n))/5, where d = A026040 and r is the periodic sequence with fundamental period (4,0,4,3,4).at n=42A026042
- a(n) = A026907(2*n, n-2).at n=3A026911
- Number of partitions satisfying cn(1,5) + cn(4,5) < cn(2,5) + cn(3,5).at n=35A039892
- Number of ways to cover (without overlapping) a ring lattice (necklace) of n sites with molecules that are 5 sites wide.at n=30A058368
- McKay-Thompson series of class 24F for Monster.at n=23A058576
- McKay-Thompson series of class 24d for Monster.at n=46A058587
- Sod_4 - sod_3 + sod_2 - sod_1, where sod_k is the sum of k-th powers of digits of n.at n=49A076160
- Coefficients of replicable function number 24e.at n=46A112163
- Positions of records in A110566.at n=14A112809
- a(1) = a(2) = 1. a(n) = a(n-1) + (largest noncomposite {1 or prime} among the first n-2 terms of the sequence).at n=25A120761
- Numbers k such that the number of prime divisors of the k-th Catalan number (counted with multiplicity) divides k.at n=27A121612
- Sums of three consecutive pentagonal numbers.at n=36A129863
- A triangular sequence of coefficients from the inverse substitution of the spherical Bessel polynomial recursion: B(x, n) = (-2/x)*B(x, n-1) - (k^2 - (n*(n-1)/x^2))*B(x, n-2), with k=1 and substitution x->1/y.at n=40A137477
- Designed symmetrical sequence with 2*3^n row sum and term: row(n)=3^n; f(n,m) = Floor[(m/Prime[n])*row(n)/2].at n=58A153290
- Number of partitions of n in which the sum of reciprocals of parts is less than 1.at n=55A168173
- a(n) equals the sum of path counts in the (right-aligned Ferrers plots of) the partitions of n.at n=18A180684
- Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 2.at n=20A209984
- Fundamental discriminants of real quadratic number fields with class number 6.at n=42A218156