6141
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8640
- Proper Divisor Sum (Aliquot Sum)
- 2499
- 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
- 3872
- Möbius Function
- -1
- Radical
- 6141
- 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
- 62
- 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
- no
- Odd
- yes
Appears in sequences
- Number of coprime chains with largest member prime(n).at n=26A003140
- Divisors of 2^22 - 1.at n=9A003531
- Divisors of 2^44 - 1.at n=21A003549
- Representation degeneracies for boson strings.at n=32A005291
- a(n) = floor(binomial(n,3)/3).at n=49A011849
- Numbers k such that the continued fraction for sqrt(k) has period 56.at n=23A020395
- a(n) = Sum_{k=0..n} T(n,k) * T(n,n+k), with T given by A027113.at n=6A027140
- Lucky numbers with size of gaps equal to 18 (upper terms).at n=35A031901
- In A015922, not in A033553.at n=18A033554
- Number of binary rooted trees with n nodes and height at most 8.at n=15A036591
- Sums of 11 distinct powers of 2.at n=21A038462
- Numbers whose base-4 representation contains exactly three 1's and four 3's.at n=4A045128
- Indices of octagonal numbers which are also triangular.at n=4A046181
- Indices of octagonal numbers which are also hexagonal numbers.at n=2A046190
- Row sums of triangle A049325.at n=6A049349
- New record highs reached in A060030.at n=22A060482
- A multiplicative version of 2^n - 1 (A000225).at n=21A064084
- G.f.: (x+2)*(x+1)/((x-1)*(x-2)) = Sum_{n>=0} a(n)*(x/2)^n.at n=11A068156
- Numbers n such that phi(n + phi(n)) = sigma(n).at n=15A074874
- Duplicate of A074874.at n=15A074892