The number 929
929 is a palindromic prime: it reads the same backwards and is prime, the 158th prime number and a palindrome: it reads 929 backwards too. Its only divisors are 1 and 929.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 929: a palindromic prime: it reads the same backwards and is prime; the 158th prime number; a palindrome: it reads 929 backwards too.
- 2
929 is prime, so its only factors are 1 and 929. It is the 158th prime; the next prime is 937 and the one before is 919.
- 3
The divisors add up to 930; without 929 itself that is 1, so 929 is deficient (1 is less than 929). Euler's totient φ(929) = 928 numbers up to 929 share no factor with it.
- 4
The digits of 929 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
929 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 930 |
| Euler totient φ(n) | 928 |
| Square | 863041 |
| Cube | 801765089 |
| Square root | 30.479501 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 129 |
| Scientific notation | 9.29 × |
929 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and twenty-nine |
| Roman numerals | CMXXIX |
| Binary (base 2) | 1110100001 |
| Octal (base 8) | 1641 |
| Hexadecimal (base 16) | 3A1 |
| Base 3 | 1021102 |
| As time | 929 seconds = 15 min 29 s |
Is 929 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 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 5) | 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 929 a prime number?
Yes. 929 is divisible only by 1 and itself.
What are the factors of 929?
1, 929.
What is 929 in binary?
1110100001 (hexadecimal 3A1, octal 1641).
What is the square root of 929?
About 30.4795.
What is 929 in Roman numerals?
CMXXIX.
Is 929 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 929?
929 is a palindromic prime: it reads the same backwards and is prime; the 158th prime number; a palindrome: it reads 929 backwards too.