The number 7368
7368 is a composite number with 16 divisors. Its prime factorisation is × 3 × 307. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 307, 614, 921, 1228, 1842, 2456, 3684, 7368.
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How to work it out
- 1
What is special about 7368: a Harshad number: divisible by its digit sum 24.
- 2
7368 is composite. Its prime factorisation is
- 3
The divisors add up to 18480; without 7368 itself that is 11112, so 7368 is abundant (11112 is more than 7368). Euler's totient φ(7368) = 2448 numbers up to 7368 share no factor with it.
- 4
The digits of 7368 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7368 = 2^{3} \times 3 \times 307 \]7368 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18480 |
| Euler totient φ(n) | 2448 |
| Square | 54287424 |
| Cube | 399989740032 |
| Square root | 85.837055 (= 2√1842) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.368 × |
7368 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and sixty-eight |
| Binary (base 2) | 1110011001000 |
| Octal (base 8) | 16310 |
| Hexadecimal (base 16) | 1CC8 |
| Base 3 | 101002220 |
| As time | 7368 seconds = 2 h 2 min 48 s |
Is 7368 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7368 ÷ 2 = 3684) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7368 ÷ 3 = 2456) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7368 ÷ 4 = 1842) | 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 (7368 ÷ 6 = 1228) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (7368 ÷ 8 = 921) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (7368 ÷ 12 = 614) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7368 a prime number?
No. 7368 = × 3 × 307, so it is divisible by 2.
What are the factors of 7368?
1, 2, 3, 4, 6, 8, 12, 24, 307, 614, 921, 1228, 1842, 2456, 3684, 7368.
What is 7368 in binary?
1110011001000 (hexadecimal 1CC8, octal 16310).
What is the square root of 7368?
About 85.8371, exactly 2√1842.
Is 7368 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 7368?
7368 is a Harshad number: divisible by its digit sum 24.