The number 7387
7387 is a composite number with 4 divisors. Its prime factorisation is 83 × 89. Divisors (4): 1, 83, 89, 7387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7387: a semiprime: 83 × 89, the product of two primes.
- 2
7387 is composite. Its prime factorisation is
- 3
The divisors add up to 7560; without 7387 itself that is 173, so 7387 is deficient (173 is less than 7387). Euler's totient φ(7387) = 7216 numbers up to 7387 share no factor with it.
- 4
The digits of 7387 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7387 = 83 \times 89 \]
7387 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7560 |
| Euler totient φ(n) | 7216 |
| Square | 54567769 |
| Cube | 403092109603 |
| Square root | 85.947658 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 70 |
| Scientific notation | 7.387 × |
7387 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and eighty-seven |
| Binary (base 2) | 1110011011011 |
| Octal (base 8) | 16333 |
| Hexadecimal (base 16) | 1CDB |
| Base 3 | 101010121 |
| As time | 7387 seconds = 2 h 3 min 7 s |
Is 7387 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7387 a prime number?
No. 7387 = 83 × 89, so it is divisible by 83.
What are the factors of 7387?
1, 83, 89, 7387.
What is 7387 in binary?
1110011011011 (hexadecimal 1CDB, octal 16333).
What is the square root of 7387?
About 85.9477.
Is 7387 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 7387?
7387 is a semiprime: 83 × 89, the product of two primes.