The number 1429
1429 is a twin prime (1427 and 1429 are both prime) and the 226th prime number. Its only divisors are 1 and 1429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1429: a twin prime (1427 and 1429 are both prime); the 226th prime number.
- 2
1429 is prime, so its only factors are 1 and 1429. It is the 226th prime; the next prime is 1433 and the one before is 1427.
- 3
The divisors add up to 1430; without 1429 itself that is 1, so 1429 is deficient (1 is less than 1429). Euler's totient φ(1429) = 1428 numbers up to 1429 share no factor with it.
- 4
The digits of 1429 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
1429 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1430 |
| Euler totient φ(n) | 1428 |
| Square | 2042041 |
| Cube | 2918076589 |
| Square root | 37.802116 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 34 |
| Scientific notation | 1.429 × |
1429 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and twenty-nine |
| Roman numerals | MCDXXIX |
| Binary (base 2) | 10110010101 |
| Octal (base 8) | 2625 |
| Hexadecimal (base 16) | 595 |
| Base 3 | 1221221 |
| As time | 1429 seconds = 23 min 49 s |
Is 1429 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1429 a prime number?
Yes. 1429 is divisible only by 1 and itself.
What are the factors of 1429?
1, 1429.
What is 1429 in binary?
10110010101 (hexadecimal 595, octal 2625).
What is the square root of 1429?
About 37.8021.
What is 1429 in Roman numerals?
MCDXXIX.
Is 1429 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1429?
1429 is a twin prime (1427 and 1429 are both prime); the 226th prime number.