7068
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 17920
- Proper Divisor Sum (Aliquot Sum)
- 10852
- 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
- 2160
- Möbius Function
- 0
- Radical
- 3534
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 150
- Smith Number
- yes
- 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
- Number of series-reduced planted trees with n leaves. Also the number of essentially series series-parallel networks with n edges; also the number of essentially parallel series-parallel networks with n edges.at n=10A000669
- Denominators of continued fraction convergents to fifth root of 2.at n=9A002361
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 14.at n=11A031692
- Golden rectangular box numbers: a(n) = n*A007067(n)*A007067(A007067(n)).at n=12A050510
- 12-gonal (or dodecagonal) numbers: a(n) = n*(5*n-4).at n=38A051624
- Numbers k such that sigma(x) = k has exactly 7 solutions.at n=26A060663
- a(n) = lcm(sigma(n+1), sigma(n)), where sigma = A000203.at n=47A060781
- Numbers k such that k and its reversal are both multiples of 19.at n=24A062907
- Non-palindromic number and its reversal are both multiples of 19.at n=15A062916
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 73 ).at n=32A063346
- Number of k's less than or equal to 10^n such that there are no middle divisors of k (A071561).at n=3A071540
- Least positive integer coefficients of power series A(x) such that the coefficients of A(x)^2 + A(x) - 1 consist entirely of squares.at n=67A083352
- a(n) = sigma(n)*sigma(n+1)/gcd(sigma(n+1), sigma(n))^2.at n=47A083538
- Number of ways of placing n nonattacking Queens of the Night on an n X n board.at n=22A102388
- Triangle read by rows: T(n,m) = number of unlabeled cographs on n nodes with m connected components.at n=55A106240
- Triangle read by rows: T(n,k) is the number of binary trees with n edges and such that the first leaf in the preorder traversal is at level k (1<=k<=n). A binary tree is a rooted tree in which each vertex has at most two children and each child of a vertex is designated as its left or right child.at n=50A120988
- Number of pointed groups of order n: that is, Sum_{G = group of order n} Number of conjugacy classes in G.at n=63A126102
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+137)^2 = y^2.at n=8A129544
- a(n) = (n-1)*(n+4)*(n+6)/6 for n > 1, a(1)=1.at n=31A137742
- a(1) = 1; for n >= 1, a(n+1) is obtained by adding to a(n) the a(n)-th smallest number not dividing a(n).at n=11A140481