The number 40289
40289 is the 4231st prime number. Its only divisors are 1 and 40289.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40289: the 4231st prime number.
- 2
40289 is prime, so its only factors are 1 and 40289. It is the 4231st prime; the next prime is 40343 and the one before is 40283.
- 3
The divisors add up to 40290; without 40289 itself that is 1, so 40289 is deficient (1 is less than 40289). Euler's totient φ(40289) = 40288 numbers up to 40289 share no factor with it.
- 4
The digits of 40289 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
40289 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40290 |
| Euler totient φ(n) | 40288 |
| Square | 1623203521 |
| Cube | 65397246657569 |
| Square root | 200.721200 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0289 × |
40289 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and eighty-nine |
| Binary (base 2) | 1001110101100001 |
| Octal (base 8) | 116541 |
| Hexadecimal (base 16) | 9D61 |
| Base 3 | 2001021012 |
| As time | 40289 seconds = 11 h 11 min 29 s |
Is 40289 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 4) | 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 5) | 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 7) | 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 40289 a prime number?
Yes. 40289 is divisible only by 1 and itself.
What are the factors of 40289?
1, 40289.
What is 40289 in binary?
1001110101100001 (hexadecimal 9D61, octal 116541).
What is the square root of 40289?
About 200.7212.
Is 40289 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 40289?
40289 is the 4231st prime number.