The number 2429
2429 is a composite number with 4 divisors. Its prime factorisation is 7 × 347. Divisors (4): 1, 7, 347, 2429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2429: a semiprime: 7 × 347, the product of two primes.
- 2
2429 is composite. Its prime factorisation is
- 3
The divisors add up to 2784; without 2429 itself that is 355, so 2429 is deficient (355 is less than 2429). Euler's totient φ(2429) = 2076 numbers up to 2429 share no factor with it.
- 4
The digits of 2429 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2429 = 7 \times 347 \]
2429 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2784 |
| Euler totient φ(n) | 2076 |
| Square | 5900041 |
| Cube | 14331199589 |
| Square root | 49.284886 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 45 |
| Scientific notation | 2.429 × |
2429 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and twenty-nine |
| Roman numerals | MMCDXXIX |
| Binary (base 2) | 100101111101 |
| Octal (base 8) | 4575 |
| Hexadecimal (base 16) | 97D |
| Base 3 | 10022222 |
| As time | 2429 seconds = 40 min 29 s |
Is 2429 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 | Yes (2429 ÷ 7 = 347) | 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 9) | 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 2429 a prime number?
No. 2429 = 7 × 347, so it is divisible by 7.
What are the factors of 2429?
1, 7, 347, 2429.
What is 2429 in binary?
100101111101 (hexadecimal 97D, octal 4575).
What is the square root of 2429?
About 49.2849.
What is 2429 in Roman numerals?
MMCDXXIX.
Is 2429 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 2429?
2429 is a semiprime: 7 × 347, the product of two primes.