9243
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14560
- Proper Divisor Sum (Aliquot Sum)
- 5317
- 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
- 5616
- Möbius Function
- 0
- Radical
- 3081
- Omega Function (Ω)
- 4
- 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
- 91
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k that divide s(k), where s(1)=1, s(j)=9*s(j-1)+j.at n=36A014857
- Numbers k that divide s(k), where s(1)=1, s(j)=13*s(j-1)+j.at n=25A014861
- Values of A038005 ending in 3.at n=8A038013
- Numbers k such that k^4 can be written as a sum of four positive 4th powers with no common factor.at n=30A039664
- Numbers whose base-5 representation contains exactly three 3's and two 4's.at n=28A045306
- Numbers k that divide 7^k + 2^k.at n=28A045580
- Numbers k that divide 7^k + 5^k.at n=23A045596
- Numbers k such that k | 8^k + 7^k + 6^k + 5^k + 4^k + 3^k.at n=43A057261
- Numbers k such that sopf(k) = sopf(k+3), where sopf(k) = A008472(k).at n=16A063969
- a(n) is the least number k that A074389(k) = n.at n=12A074390
- Numbers k such that k + sum_of_digits(k) is a cube.at n=18A084661
- a(n) = 3*a(n-1) - 3*a(n-3) + a(n-4) for n > 3, with a(0) = 1, a(1) = 3, a(2) = 9, a(3) = 27.at n=9A084707
- Numbers k such that p(k), p(k)+6, p(k)+12, p(k)+18 are consecutive primes, where p(k) denotes k-th prime.at n=36A090832
- Numbers n such that p(n),p(n)+6,p(n)+12,p(n)+18 are consecutive primes and p(n)=6*k+1 for some k, where p(n) denotes n-th prime.at n=17A090838
- Numbers n such that (n+j) mod (2+j) = 1 for j from 0 to 6 and (n+7) mod 9 <> 1.at n=7A096025
- Expansion of eta(q)/eta(q^5)^5 in powers of q.at n=40A109063
- Start with 1015 and repeatedly reverse the digits and add 4 to get the next term.at n=14A117807
- Numbers n for which 12n+1, 12n+5, 12n+7 and 12n+11 are primes.at n=43A123985
- Numbers k such that k^3 divides 17^(k^2) + 1.at n=15A177817
- The sum of the elements within a jump in a Sieve of Eratosthenes table.at n=21A179545