7067
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7296
- Proper Divisor Sum (Aliquot Sum)
- 229
- 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
- 6840
- Möbius Function
- 1
- Radical
- 7067
- Omega Function (Ω)
- 2
- 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
- 57
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 series-reduced star graphs with n edges.at n=10A002935
- a(n) = (d(n)-r(n))/2, where d = A026049 and r is the periodic sequence with fundamental period (1,0,0,1).at n=30A026050
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 13 ones.at n=15A031781
- Number of partitions of n with equal number of parts congruent to each of 0 and 1 (mod 5).at n=44A035552
- Numbers k such that 5*2^k + 3 is prime.at n=43A058586
- Nonprime numbers n such that q=phi(n)/(sigma(n)-n-1) is an integer and n is not a prime square.at n=40A070161
- A Wallis pair (x,y) satisfies sigma(x^2) = sigma(y^2); sequence gives y's for indecomposable Wallis pairs with x < y (ordered by values of x).at n=21A075769
- Least x = a(n) such that sum of common prime divisors (without multiplicity) of sigma(x) and phi(x) equals n, or 0 if such number (apparently) does not exist.at n=23A082056
- Composite terms in A143578.at n=39A142591
- Integer solutions x to the equation A064380(x)-A000010(x)=5.at n=42A186781
- Smallest k such that the fundamental unit (x+y*w) or (x+y*w)/2 of the real quadratic field Q(sqrt(k)) obeys gcd(k,y)=n.at n=35A197170
- Number of 0..n arrays x(0..6) of 7 elements with zero 4th differences.at n=25A200274
- Least number k such that n divides gcd(sigma(k), phi(k)) (A009223).at n=18A222713
- Least number k such that n divides gcd(sigma(k), phi(k)) (A009223).at n=37A222713
- Smallest i such that prime(n) divides gcd(sigma(i), phi(i)) (cf. A009223).at n=7A222714
- Composite numbers n such that the sum of numbers x<=n not coprime to n divides the sum of numbers y<=n coprime to n.at n=42A238232
- Number of (unlabeled) rooted trees with n leaf nodes and without unary nodes or outdegrees larger than ten.at n=11A292216
- Solution of the complementary equation a(n) = 2*a(n-1) - a(n-2) + b(n-1) + 2, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences.at n=30A294870
- Number of nX7 0..1 arrays with every element equal to 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.at n=19A298186
- Composite numbers k such that sigma(k)/k' is an integer, where k' is the arithmetic derivative of k.at n=42A321182