The number 7293
7293 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 13 × 17. Divisors (16): 1, 3, 11, 13, 17, 33, 39, 51, 143, 187, 221, 429, 561, 663, 2431, 7293.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7293 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7293 is composite. Its prime factorisation is
- 3
The divisors add up to 12096; without 7293 itself that is 4803, so 7293 is deficient (4803 is less than 7293). Euler's totient φ(7293) = 3840 numbers up to 7293 share no factor with it.
- 4
The digits of 7293 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7293 = 3 \times 11 \times 13 \times 17 \]
7293 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 12096 |
| Euler totient φ(n) | 3840 |
| Square | 53187849 |
| Cube | 387898982757 |
| Square root | 85.399063 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 163 |
| Scientific notation | 7.293 × |
7293 in other forms
| Form | Value |
|---|---|
| In words | seven thousand two hundred and ninety-three |
| Binary (base 2) | 1110001111101 |
| Octal (base 8) | 16175 |
| Hexadecimal (base 16) | 1C7D |
| Base 3 | 101000010 |
| As time | 7293 seconds = 2 h 1 min 33 s |
Is 7293 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7293 ÷ 3 = 2431) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (7293 ÷ 11 = 663) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7293 a prime number?
No. 7293 = 3 × 11 × 13 × 17, so it is divisible by 3.
What are the factors of 7293?
1, 3, 11, 13, 17, 33, 39, 51, 143, 187, 221, 429, 561, 663, 2431, 7293.
What is 7293 in binary?
1110001111101 (hexadecimal 1C7D, octal 16175).
What is the square root of 7293?
About 85.3991.
Is 7293 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 7293?
It is a composite number with 16 divisors.