The number 67137
67137 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 23 × 139. Divisors (16): 1, 3, 7, 21, 23, 69, 139, 161, 417, 483, 973, 2919, 3197, 9591, 22379, 67137.
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How to work it out
- 1
67137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67137 is composite. Its prime factorisation is
- 3
The divisors add up to 107520; without 67137 itself that is 40383, so 67137 is deficient (40383 is less than 67137). Euler's totient φ(67137) = 36432 numbers up to 67137 share no factor with it.
- 4
The digits of 67137 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67137 = 3 \times 7 \times 23 \times 139 \]
67137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 107520 |
| Euler totient φ(n) | 36432 |
| Square | 4507376769 |
| Cube | 302611754140353 |
| Square root | 259.108086 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7137 × |
67137 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and thirty-seven |
| Binary (base 2) | 10000011001000001 |
| Octal (base 8) | 203101 |
| Hexadecimal (base 16) | 10641 |
| Base 3 | 10102002120 |
| As time | 67137 seconds = 18 h 38 min 57 s |
Is 67137 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 (67137 ÷ 3 = 22379) | 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 | Yes (67137 ÷ 7 = 9591) | 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 | No (remainder 6) | 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 4) | 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 67137 a prime number?
No. 67137 = 3 × 7 × 23 × 139, so it is divisible by 3.
What are the factors of 67137?
1, 3, 7, 21, 23, 69, 139, 161, 417, 483, 973, 2919, 3197, 9591, 22379, 67137.
What is 67137 in binary?
10000011001000001 (hexadecimal 10641, octal 203101).
What is the square root of 67137?
About 259.1081.
Is 67137 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 67137?
It is a composite number with 16 divisors.