The number 3429
3429 is a composite number with 8 divisors. Its prime factorisation is × 127. Divisors (8): 1, 3, 9, 27, 127, 381, 1143, 3429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3429 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3429 is composite. Its prime factorisation is
- 3
The divisors add up to 5120; without 3429 itself that is 1691, so 3429 is deficient (1691 is less than 3429). Euler's totient φ(3429) = 2268 numbers up to 3429 share no factor with it.
- 4
The digits of 3429 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3429 = 3^{3} \times 127 \]3429 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5120 |
| Euler totient φ(n) | 2268 |
| Square | 11758041 |
| Cube | 40318322589 |
| Square root | 58.557664 (= 3√381) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.429 × |
3429 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and twenty-nine |
| Roman numerals | MMMCDXXIX |
| Binary (base 2) | 110101100101 |
| Octal (base 8) | 6545 |
| Hexadecimal (base 16) | D65 |
| Base 3 | 11201000 |
| As time | 3429 seconds = 57 min 9 s |
Is 3429 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 (3429 ÷ 3 = 1143) | 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 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 | Yes (3429 ÷ 9 = 381) | 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 8) | 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 3429 a prime number?
No. 3429 = × 127, so it is divisible by 3.
What are the factors of 3429?
1, 3, 9, 27, 127, 381, 1143, 3429.
What is 3429 in binary?
110101100101 (hexadecimal D65, octal 6545).
What is the square root of 3429?
About 58.5577, exactly 3√381.
What is 3429 in Roman numerals?
MMMCDXXIX.
Is 3429 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3429?
It is a composite number with 8 divisors.