The number 40169
40169 is the 4220th prime number. Its only divisors are 1 and 40169.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40169: the 4220th prime number.
- 2
40169 is prime, so its only factors are 1 and 40169. It is the 4220th prime; the next prime is 40177 and the one before is 40163.
- 3
The divisors add up to 40170; without 40169 itself that is 1, so 40169 is deficient (1 is less than 40169). Euler's totient φ(40169) = 40168 numbers up to 40169 share no factor with it.
- 4
The digits of 40169 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 75 steps to reach 1.
40169 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40170 |
| Euler totient φ(n) | 40168 |
| Square | 1613548561 |
| Cube | 64814632146809 |
| Square root | 200.422055 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.0169 × |
40169 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and sixty-nine |
| Binary (base 2) | 1001110011101001 |
| Octal (base 8) | 116351 |
| Hexadecimal (base 16) | 9CE9 |
| Base 3 | 2001002202 |
| As time | 40169 seconds = 11 h 9 min 29 s |
Is 40169 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 3) | 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 8) | 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 40169 a prime number?
Yes. 40169 is divisible only by 1 and itself.
What are the factors of 40169?
1, 40169.
What is 40169 in binary?
1001110011101001 (hexadecimal 9CE9, octal 116351).
What is the square root of 40169?
About 200.4221.
Is 40169 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 40169?
40169 is the 4220th prime number.