The number 57629
57629 is a composite number with 12 divisors. Its prime factorisation is 11 × × 31. Divisors (12): 1, 11, 13, 31, 143, 169, 341, 403, 1859, 4433, 5239, 57629.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57629 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57629 is composite. Its prime factorisation is
- 3
The divisors add up to 70272; without 57629 itself that is 12643, so 57629 is deficient (12643 is less than 57629). Euler's totient φ(57629) = 46800 numbers up to 57629 share no factor with it.
- 4
The digits of 57629 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57629 = 11 \times 13^{2} \times 31 \]57629 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 70272 |
| Euler totient φ(n) | 46800 |
| Square | 3321101641 |
| Cube | 191391766469189 |
| Square root | 240.060409 (= 13√341) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.7629 × |
57629 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand six hundred and twenty-nine |
| Binary (base 2) | 1110000100011101 |
| Octal (base 8) | 160435 |
| Hexadecimal (base 16) | E11D |
| Base 3 | 2221001102 |
| As time | 57629 seconds = 16 h 0 min 29 s |
Is 57629 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 (57629 ÷ 11 = 5239) | 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 57629 a prime number?
No. 57629 = 11 × × 31, so it is divisible by 11.
What are the factors of 57629?
1, 11, 13, 31, 143, 169, 341, 403, 1859, 4433, 5239, 57629.
What is 57629 in binary?
1110000100011101 (hexadecimal E11D, octal 160435).
What is the square root of 57629?
About 240.0604, exactly 13√341.
Is 57629 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 57629?
It is a composite number with 12 divisors.