The number 429
429 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 13. Divisors (8): 1, 3, 11, 13, 33, 39, 143, 429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
429 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
429 is composite. Its prime factorisation is
- 3
The divisors add up to 672; without 429 itself that is 243, so 429 is deficient (243 is less than 429). Euler's totient φ(429) = 240 numbers up to 429 share no factor with it.
- 4
The digits of 429 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 429 = 3 \times 11 \times 13 \]
429 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 672 |
| Euler totient φ(n) | 240 |
| Square | 184041 |
| Cube | 78953589 |
| Square root | 20.712315 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 102 |
| Scientific notation | 4.29 × |
429 in other forms
| Form | Value |
|---|---|
| In words | four hundred and twenty-nine |
| Roman numerals | CDXXIX |
| Binary (base 2) | 110101101 |
| Octal (base 8) | 655 |
| Hexadecimal (base 16) | 1AD |
| Base 3 | 120220 |
| As time | 429 seconds = 7 min 9 s |
Is 429 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 | Yes (429 ÷ 3 = 143) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 (429 ÷ 11 = 39) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 429 a prime number?
No. 429 = 3 × 11 × 13, so it is divisible by 3.
What are the factors of 429?
1, 3, 11, 13, 33, 39, 143, 429.
What is 429 in binary?
110101101 (hexadecimal 1AD, octal 655).
What is the square root of 429?
About 20.7123.
What is 429 in Roman numerals?
CDXXIX.
Is 429 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 429?
It is a composite number with 8 divisors.