The number 7338
7338 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 1223. Divisors (8): 1, 2, 3, 6, 1223, 2446, 3669, 7338.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7338 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7338 is composite. Its prime factorisation is
- 3
The divisors add up to 14688; without 7338 itself that is 7350, so 7338 is abundant (7350 is more than 7338). Euler's totient φ(7338) = 2444 numbers up to 7338 share no factor with it.
- 4
The digits of 7338 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7338 = 2 \times 3 \times 1223 \]
7338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14688 |
| Euler totient φ(n) | 2444 |
| Square | 53846244 |
| Cube | 395123738472 |
| Square root | 85.662127 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 39 |
| Scientific notation | 7.338 × |
7338 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and thirty-eight |
| Binary (base 2) | 1110010101010 |
| Octal (base 8) | 16252 |
| Hexadecimal (base 16) | 1CAA |
| Base 3 | 101001210 |
| As time | 7338 seconds = 2 h 2 min 18 s |
Is 7338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7338 ÷ 2 = 3669) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7338 ÷ 3 = 2446) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (7338 ÷ 6 = 1223) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7338 a prime number?
No. 7338 = 2 × 3 × 1223, so it is divisible by 2.
What are the factors of 7338?
1, 2, 3, 6, 1223, 2446, 3669, 7338.
What is 7338 in binary?
1110010101010 (hexadecimal 1CAA, octal 16252).
What is the square root of 7338?
About 85.6621.
Is 7338 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 7338?
It is a composite number with 8 divisors.