9318
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18648
- Proper Divisor Sum (Aliquot Sum)
- 9330
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3104
- Möbius Function
- -1
- Radical
- 9318
- Omega Function (Ω)
- 3
- 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
- 153
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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 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=6A031594
- Numbers k such that the k-th Fibonacci number reversed is prime.at n=25A036971
- Number of trees with n nodes and 7 leaves.at n=9A055294
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 93 ).at n=39A063366
- Numbers m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,19.at n=2A064246
- Start of n-th segment of Recamán's sequence R(m) (A005132): values of n where the change in the fractional parts of successive values of R(n)/n is positive.at n=15A064492
- Numbers n such that 2*p(n)+3, 2*p(n+1)+3, 2*p(n+2)+3 are consecutive primes, where p(i) denotes the i-th prime.at n=11A088066
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^3*(1 - x^3)).at n=33A092498
- Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1),U=(1,2), or d=(1,-1) and have k doubledescents (i.e., dd's).at n=37A108428
- Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1),U=(1,2), or d=(1,-1) and have k doubledescents (i.e., dd's).at n=36A108428
- Record gaps between twin primes.at n=43A113274
- Numbers k such that k + sigma(k) is a triangular number.at n=40A115904
- Table T(n,k) = sum over all set partitions of n of number at index k.at n=30A120057
- Convolution square-root of column 1 (A127084) of triangle A127082.at n=7A127087
- Numbers n such that 379*10^n+9 is a ("Google") probable prime.at n=19A159264
- a(n) = Sum_{k<=n} A007955(k), where A007955(m) = product of divisors of m.at n=18A175318
- The magic constants of 6 X 6 magic squares composed of consecutive primes.at n=42A177434
- a(1)=4. a(n+1) = a(n)+d-1, where d is the smallest prime divisor of (a(n)-1)*(a(n)+1).at n=39A177929
- Numbers n such that 4n+1 is a palindromic prime.at n=30A192261
- a(n) = 7*11^n+1.at n=3A199758