The number 67729
67729 is a composite number with 4 divisors. Its prime factorisation is 89 × 761. Divisors (4): 1, 89, 761, 67729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67729: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 89 × 761, the product of two primes.
- 2
67729 is composite. Its prime factorisation is
- 3
The divisors add up to 68580; without 67729 itself that is 851, so 67729 is deficient (851 is less than 67729). Euler's totient φ(67729) = 66880 numbers up to 67729 share no factor with it.
- 4
The digits of 67729 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 205 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67729 = 89 \times 761 \]
67729 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 68580 |
| Euler totient φ(n) | 66880 |
| Square | 4587217441 |
| Cube | 310687650061489 |
| Square root | 260.247959 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 205 |
| Scientific notation | 6.7729 × |
67729 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and twenty-nine |
| Binary (base 2) | 10000100010010001 |
| Octal (base 8) | 204221 |
| Hexadecimal (base 16) | 10891 |
| Base 3 | 10102220111 |
| As time | 67729 seconds = 18 h 48 min 49 s |
Is 67729 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67729 a prime number?
No. 67729 = 89 × 761, so it is divisible by 89.
What are the factors of 67729?
1, 89, 761, 67729.
What is 67729 in binary?
10000100010010001 (hexadecimal 10891, octal 204221).
What is the square root of 67729?
About 260.2480.
Is 67729 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 67729?
67729 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 89 × 761, the product of two primes.