9493
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
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10368
- Proper Divisor Sum (Aliquot Sum)
- 875
- 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
- 8620
- Möbius Function
- 1
- Radical
- 9493
- 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
- 78
- 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
- Fibonacci sequence beginning 1, 9.at n=16A022099
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=35A031816
- Numbers whose base-5 representation contains exactly two 0's and three 3's.at n=34A045198
- a(n) = 3*a(n-1) - a(n-2) with a(0)=1, a(1)=10.at n=8A055850
- Global ranks of terms of A057122: tells which terms of A014486 form rooted plane binary trees also when interpreted as codes for ordinary rooted planar trees.at n=24A057123
- Triangle T(n,k) arising from enumeration of permutations with ordered orbits, read by rows (1<=k<=n).at n=40A059418
- Subdiagonal of array of n-gonal numbers A081422.at n=21A081423
- Number of permutations of length n which avoid the patterns 1234, 3421, 4312.at n=22A116756
- Number of distinct representations of primorials as the sum of two primes.at n=7A116979
- Sum of heights of all skew Dyck paths of semilength n.at n=6A129162
- Numerators of the central moments of the distribution of areas for triangles picked at random in a triangle of unit area.at n=5A130117
- a(n) = A030068(4n+1).at n=40A169739
- The 240-degree spoke (or ray) of a hexagonal spiral of Ulam.at n=28A244805
- Twice partitioned numbers where the latter partitions are constant.at n=17A279784
- Expansion of Sum_{i>=1} mu(i)^2*x^i/(1 - x^i) * Product_{j>=i} 1/(1 - mu(j)^2*x^j), where mu() is the Moebius function (A008683).at n=29A284829
- Expansion of x*(1 - 2*x + x^2 + 7*x^3 - x^4)/((1 - x)^4*(1 + x)^3).at n=43A292551
- a(0) = a(1) = 1; a(n) = [x^n] Product_{k=1..n-1} 1/(1 - x^a(k)).at n=52A293806
- Numbers that are the sum of eight fourth powers in six or more ways.at n=20A345581
- Numbers that are the sum of eight fourth powers in exactly six ways.at n=15A345838
- Positive numbers whose square starts and ends with exactly one 9.at n=44A348491