6100
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 13454
- Proper Divisor Sum (Aliquot Sum)
- 7354
- 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
- 2400
- Möbius Function
- 0
- Radical
- 610
- Omega Function (Ω)
- 5
- 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
- 111
- 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
- MacMahon's generalized sum of divisors function.at n=33A002127
- From the graph reconstruction problem.at n=8A006654
- E.g.f.: sec(arcsinh(x)+log(x+1)) = 1 + 4/2!*x^2 - 6/3!*x^3 + 91/4!*x^4 - 470/5!*x^5 + ...at n=6A013079
- Fibonacci sequence beginning 0, 10.at n=15A022093
- a(n) = Sum_{k = 1..n} k*floor((n + prime(k))/k).at n=46A024929
- Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite).at n=14A025513
- Arrange digits of squares in descending order.at n=40A028908
- Number of rooted identity trees with n nodes and 3 leaves.at n=20A055328
- Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; each k is an R(i(k),j(k)) and A057043(n)=i(L(n)), where L(n) is the n-th Lucas number.at n=37A057043
- Coefficient triangle of polynomials (falling powers) related to Fibonacci convolutions. Companion triangle to A057282.at n=11A057281
- Coefficient triangle of polynomials (rising powers) related to Fibonacci convolutions. Companion triangle to A057280.at n=13A057995
- McKay-Thompson series of class 38A for Monster.at n=40A058657
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 92 ).at n=40A063365
- Number of 4-gonal compositions of n into positive parts.at n=42A069982
- Convoluted convolved Fibonacci numbers G_5^(r).at n=46A089109
- Sign twisted convoluted convolved Fibonacci numbers H_5^(r).at n=46A089110
- Bisection of A001157: a(n) = sigma_2(2n-1).at n=38A099978
- Bisection of A001157: sigma_2(2n).at n=32A099979
- Number of distinct products i*j*k*l for 1 <= i <= j <= k <= l <= n.at n=26A100437
- 3-Smith numbers.at n=21A104391