The number 629
629 is a composite number with 4 divisors. Its prime factorisation is 17 × 37. Divisors (4): 1, 17, 37, 629.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 629: a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 37, the product of two primes.
- 2
629 is composite. Its prime factorisation is
- 3
The divisors add up to 684; without 629 itself that is 55, so 629 is deficient (55 is less than 629). Euler's totient φ(629) = 576 numbers up to 629 share no factor with it.
- 4
The digits of 629 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 629 = 17 \times 37 \]
629 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 684 |
| Euler totient φ(n) | 576 |
| Square | 395641 |
| Cube | 248858189 |
| Square root | 25.079872 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 38 |
| Scientific notation | 6.29 × |
629 in other forms
| Form | Value |
|---|---|
| In words | six hundred and twenty-nine |
| Roman numerals | DCXXIX |
| Binary (base 2) | 1001110101 |
| Octal (base 8) | 1165 |
| Hexadecimal (base 16) | 275 |
| Base 3 | 212022 |
| As time | 629 seconds = 10 min 29 s |
Is 629 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 6) | 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 8) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 629 a prime number?
No. 629 = 17 × 37, so it is divisible by 17.
What are the factors of 629?
1, 17, 37, 629.
What is 629 in binary?
1001110101 (hexadecimal 275, octal 1165).
What is the square root of 629?
About 25.0799.
What is 629 in Roman numerals?
DCXXIX.
Is 629 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 629?
629 is a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 37, the product of two primes.