The number 10429
10429 is a twin prime (10427 and 10429 are both prime) and the 1276th prime number. Its only divisors are 1 and 10429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10429: a twin prime (10427 and 10429 are both prime); the 1276th prime number.
- 2
10429 is prime, so its only factors are 1 and 10429. It is the 1276th prime; the next prime is 10433 and the one before is 10427.
- 3
The divisors add up to 10430; without 10429 itself that is 1, so 10429 is deficient (1 is less than 10429). Euler's totient φ(10429) = 10428 numbers up to 10429 share no factor with it.
- 4
The digits of 10429 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 86 steps to reach 1.
10429 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10430 |
| Euler totient φ(n) | 10428 |
| Square | 108764041 |
| Cube | 1134300183589 |
| Square root | 102.122475 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.0429 × |
10429 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and twenty-nine |
| Binary (base 2) | 10100010111101 |
| Octal (base 8) | 24275 |
| Hexadecimal (base 16) | 28BD |
| Base 3 | 112022021 |
| As time | 10429 seconds = 2 h 53 min 49 s |
Is 10429 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 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 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 1) | 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 10429 a prime number?
Yes. 10429 is divisible only by 1 and itself.
What are the factors of 10429?
1, 10429.
What is 10429 in binary?
10100010111101 (hexadecimal 28BD, octal 24275).
What is the square root of 10429?
About 102.1225.
Is 10429 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 10429?
10429 is a twin prime (10427 and 10429 are both prime); the 1276th prime number.