The number 5729
5729 is a composite number with 4 divisors. Its prime factorisation is 17 × 337. Divisors (4): 1, 17, 337, 5729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5729: a semiprime: 17 × 337, the product of two primes.
- 2
5729 is composite. Its prime factorisation is
- 3
The divisors add up to 6084; without 5729 itself that is 355, so 5729 is deficient (355 is less than 5729). Euler's totient φ(5729) = 5376 numbers up to 5729 share no factor with it.
- 4
The digits of 5729 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5729 = 17 \times 337 \]
5729 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 6084 |
| Euler totient φ(n) | 5376 |
| Square | 32821441 |
| Cube | 188034035489 |
| Square root | 75.690158 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 28 |
| Scientific notation | 5.729 × |
5729 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and twenty-nine |
| Binary (base 2) | 1011001100001 |
| Octal (base 8) | 13141 |
| Hexadecimal (base 16) | 1661 |
| Base 3 | 21212012 |
| As time | 5729 seconds = 1 h 35 min 29 s |
Is 5729 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5729 a prime number?
No. 5729 = 17 × 337, so it is divisible by 17.
What are the factors of 5729?
1, 17, 337, 5729.
What is 5729 in binary?
1011001100001 (hexadecimal 1661, octal 13141).
What is the square root of 5729?
About 75.6902.
Is 5729 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 5729?
5729 is a semiprime: 17 × 337, the product of two primes.