The number 40177
40177 is the 4221st prime number. Its only divisors are 1 and 40177.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40177: the 4221st prime number.
- 2
40177 is prime, so its only factors are 1 and 40177. It is the 4221st prime; the next prime is 40189 and the one before is 40169.
- 3
The divisors add up to 40178; without 40177 itself that is 1, so 40177 is deficient (1 is less than 40177). Euler's totient φ(40177) = 40176 numbers up to 40177 share no factor with it.
- 4
The digits of 40177 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
40177 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40178 |
| Euler totient φ(n) | 40176 |
| Square | 1614191329 |
| Cube | 64853365025233 |
| Square root | 200.442012 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0177 × |
40177 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and seventy-seven |
| Binary (base 2) | 1001110011110001 |
| Octal (base 8) | 116361 |
| Hexadecimal (base 16) | 9CF1 |
| Base 3 | 2001010001 |
| As time | 40177 seconds = 11 h 9 min 37 s |
Is 40177 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 2) | 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 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40177 a prime number?
Yes. 40177 is divisible only by 1 and itself.
What are the factors of 40177?
1, 40177.
What is 40177 in binary?
1001110011110001 (hexadecimal 9CF1, octal 116361).
What is the square root of 40177?
About 200.4420.
Is 40177 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 40177?
40177 is the 4221st prime number.