The number 5929
5929 is a perfect square (77²). Its prime factorisation is × . Divisors (9): 1, 7, 11, 49, 77, 121, 539, 847, 5929.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5929: a perfect square (77²).
- 2
5929 is composite. Its prime factorisation is
- 3
The divisors add up to 7581; without 5929 itself that is 1652, so 5929 is deficient (1652 is less than 5929). Euler's totient φ(5929) = 4620 numbers up to 5929 share no factor with it.
- 4
The digits of 5929 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 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5929 = 7^{2} \times 11^{2} \]5929 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 9 |
| Sum of divisors | 7581 |
| Euler totient φ(n) | 4620 |
| Square | 35153041 |
| Cube | 208422380089 |
| Square root | 77 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 186 |
| Scientific notation | 5.929 × |
| Perfect power |
5929 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and twenty-nine |
| Binary (base 2) | 1011100101001 |
| Octal (base 8) | 13451 |
| Hexadecimal (base 16) | 1729 |
| Base 3 | 22010121 |
| As time | 5929 seconds = 1 h 38 min 49 s |
Is 5929 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 | Yes (5929 ÷ 7 = 847) | 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 7) | 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 | Yes (5929 ÷ 11 = 539) | 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 5929 a prime number?
No. 5929 = × , so it is divisible by 7.
What are the factors of 5929?
1, 7, 11, 49, 77, 121, 539, 847, 5929.
What is 5929 in binary?
1011100101001 (hexadecimal 1729, octal 13451).
What is the square root of 5929?
77, because 77 × 77 = 5929.
Is 5929 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 5929?
5929 is a perfect square (77²).