9574
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14364
- Proper Divisor Sum (Aliquot Sum)
- 4790
- 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
- 4786
- Möbius Function
- 1
- Radical
- 9574
- 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
- 73
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k where |cos(k)| (or |cosec(k)| or |cot(k)|) decreases monotonically to 0; also numbers k where |tan(k)| (or |sec(k)|, or |sin(k)|) increases.at n=32A004112
- Least k such that tan(k) > tan(a(n-1)), for n >= 1, where a(0) = 0.at n=43A024814
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 96.at n=21A031594
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 66 ones.at n=8A031834
- Number of ways to partition n elements into pie slices of different sizes other than one.at n=37A032155
- Numbers whose base-4 representation contains exactly four 1's and three 2's.at n=21A045108
- Sin(n) decreases monotonically to -1.at n=18A046964
- Numbers k such that floor(tan(k)) > floor(tan(m)) for all m < k.at n=40A063537
- a(0)=1; a(n) is the smallest integer > a(n-1) such that sin(a(n)) is closer to an integer (here 0 or -1) than sin(a(n-1)).at n=17A079037
- Least k such that decimal representation of k*n contains only digits 0 and 2.at n=22A096681
- Numbers k such that (3*2^k - 1)^2 - 2 is prime.at n=12A100911
- Number of different digraphs on n unlabeled nodes which are not graphs.at n=5A127909
- Number of possible 3 X n arrangements of black and white squares that can form three consecutive rows in an n X n crossword puzzle.at n=5A133253
- a(n) is the coefficient of x^n in the polynomial given by Product_{k>=1} (1 + prime(k)*x^k).at n=14A147655
- Numbers with distinct digits appearing in partition of decimal expansion of e (A001113).at n=14A167836
- a(1) = 1, and for each k >=2, a(k) is the smallest number n such that n/cos(n) > a(k)/cos(a(k)), so that a(1)/cos(a(1)) > a(2)/cos(a(2)) > ... > a(k)/cos(a(k)) > ...at n=28A172446
- a(1) = 1, and for each n >=2, a(n) is the smallest number such that 1/cos(a(n)) < 1/cos(k) for all k < n, so that 1/cos(a(1)) > 1/cos(a(2)) > ... > 1/cos(a(n)) > ...at n=17A172448
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 158", based on the 5-celled von Neumann neighborhood.at n=29A270335
- The sum of the necessary diagonal movements from each square unit of an n X n+1 rectangle to reach any of the corners of the rectangle.at n=25A279034
- Expansion of Product_{k>=1} (1 + x^(k^2))^(k^2).at n=46A291649