The number 29989
29989 is the 3245th prime number. Its only divisors are 1 and 29989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29989: the 3245th prime number.
- 2
29989 is prime, so its only factors are 1 and 29989. It is the 3245th prime; the next prime is 30011 and the one before is 29983.
- 3
The divisors add up to 29990; without 29989 itself that is 1, so 29989 is deficient (1 is less than 29989). Euler's totient φ(29989) = 29988 numbers up to 29989 share no factor with it.
- 4
The digits of 29989 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
29989 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 29990 |
| Euler totient φ(n) | 29988 |
| Square | 899340121 |
| Cube | 26970310888669 |
| Square root | 173.173324 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.9989 × |
29989 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and eighty-nine |
| Binary (base 2) | 111010100100101 |
| Octal (base 8) | 72445 |
| Hexadecimal (base 16) | 7525 |
| Base 3 | 1112010201 |
| As time | 29989 seconds = 8 h 19 min 49 s |
Is 29989 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 1) | 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 3) | 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 29989 a prime number?
Yes. 29989 is divisible only by 1 and itself.
What are the factors of 29989?
1, 29989.
What is 29989 in binary?
111010100100101 (hexadecimal 7525, octal 72445).
What is the square root of 29989?
About 173.1733.
Is 29989 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 29989?
29989 is the 3245th prime number.