The number 40189
40189 is the 4222nd prime number. Its only divisors are 1 and 40189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40189: the 4222nd prime number.
- 2
40189 is prime, so its only factors are 1 and 40189. It is the 4222nd prime; the next prime is 40193 and the one before is 40177.
- 3
The divisors add up to 40190; without 40189 itself that is 1, so 40189 is deficient (1 is less than 40189). Euler's totient φ(40189) = 40188 numbers up to 40189 share no factor with it.
- 4
The digits of 40189 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
40189 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40190 |
| Euler totient φ(n) | 40188 |
| Square | 1615155721 |
| Cube | 64911493271269 |
| Square root | 200.471943 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0189 × |
40189 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and eighty-nine |
| Binary (base 2) | 1001110011111101 |
| Octal (base 8) | 116375 |
| Hexadecimal (base 16) | 9CFD |
| Base 3 | 2001010111 |
| As time | 40189 seconds = 11 h 9 min 49 s |
Is 40189 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 2) | 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 4) | 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 6) | 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 40189 a prime number?
Yes. 40189 is divisible only by 1 and itself.
What are the factors of 40189?
1, 40189.
What is 40189 in binary?
1001110011111101 (hexadecimal 9CFD, octal 116375).
What is the square root of 40189?
About 200.4719.
Is 40189 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 40189?
40189 is the 4222nd prime number.