The number 7137
7137 is a composite number with 12 divisors. Its prime factorisation is × 13 × 61. Divisors (12): 1, 3, 9, 13, 39, 61, 117, 183, 549, 793, 2379, 7137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7137 is composite. Its prime factorisation is
- 3
The divisors add up to 11284; without 7137 itself that is 4147, so 7137 is deficient (4147 is less than 7137). Euler's totient φ(7137) = 4320 numbers up to 7137 share no factor with it.
- 4
The digits of 7137 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7137 = 3^{2} \times 13 \times 61 \]7137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 11284 |
| Euler totient φ(n) | 4320 |
| Square | 50936769 |
| Cube | 363535720353 |
| Square root | 84.480767 (= 3√793) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 7.137 × |
7137 in other forms
| Form | Value |
|---|---|
| In words | seven thousand one hundred and thirty-seven |
| Binary (base 2) | 1101111100001 |
| Octal (base 8) | 15741 |
| Hexadecimal (base 16) | 1BE1 |
| Base 3 | 100210100 |
| As time | 7137 seconds = 1 h 58 min 57 s |
Is 7137 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 (7137 ÷ 3 = 2379) | 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 2) | 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 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (7137 ÷ 9 = 793) | 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 9) | 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 7137 a prime number?
No. 7137 = × 13 × 61, so it is divisible by 3.
What are the factors of 7137?
1, 3, 9, 13, 39, 61, 117, 183, 549, 793, 2379, 7137.
What is 7137 in binary?
1101111100001 (hexadecimal 1BE1, octal 15741).
What is the square root of 7137?
About 84.4808, exactly 3√793.
Is 7137 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 7137?
It is a composite number with 12 divisors.