9204
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 23520
- Proper Divisor Sum (Aliquot Sum)
- 14316
- 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
- 2784
- Möbius Function
- 0
- Radical
- 4602
- 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
- 47
- Smith Number
- no
- 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
- Numbers k such that 2*3^k - 1 is prime.at n=24A003307
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTT = ZSM-23 Nan[AlnSi24-nO48] starting with a T6 atom.at n=12A019191
- Four times second pentagonal numbers: a(n) = 2*n*(3*n+1).at n=39A033580
- a(1)=1, a(2)=2, a(3)=3; for n >= 3, a(n) is smallest number such that all a(i) for 1 <= i <= n are distinct, all a(i)+a(j) for 1 <= i < j <= n are distinct and all a(i)+a(j)+a(k) for 1 <= i < j < k <= n are distinct.at n=21A036241
- Denominators of continued fraction convergents to sqrt(828).at n=8A042599
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 8 skipped primes.at n=45A050775
- a(n) is the least index such that the least primitive root of the a(n)-th prime is n, or zero if no such prime exists.at n=42A066529
- Numbers k such that phi(k) divides sigma(k+1) + sigma(k).at n=47A067246
- Non-balanced numbers in A015765.at n=40A074868
- Least k such that the least positive primitive root of prime(k) equals prime(n).at n=13A079060
- Positive square-root of terms of the self-convolution of A087150.at n=30A087151
- Number of interior balls in a truncated tetrahedral arrangement.at n=13A092966
- Indices of primes in sequence defined by A(0) = 29, A(n) = 10*A(n-1) - 81 for n > 0.at n=5A101952
- Numbers k such that sigma(k) - phi(k) is a 4th power.at n=17A115918
- Coefficients for expansion of (g(x)d/dx)^n g(x); refined Eulerian numbers for calculating compositional inverse of h(x) = (d/dx)^(-1) 1/g(x); iterated derivatives as infinitesimal generators of flows.at n=50A145271
- 4 times 9-gonal numbers: a(n) = 2*n*(7*n-5).at n=26A152760
- a(n) = 64*n^2 - n.at n=11A157948
- a(n) = 256*n^2 - 2*n.at n=5A158249
- a(n) = 144*n^2 - 12.at n=7A158543
- Numbers that have 9 terms in their Zeckendorf representation.at n=12A179249