The number 38377
38377 is the 4051st prime number. Its only divisors are 1 and 38377.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38377: the 4051st prime number.
- 2
38377 is prime, so its only factors are 1 and 38377. It is the 4051st prime; the next prime is 38393 and the one before is 38371.
- 3
The divisors add up to 38378; without 38377 itself that is 1, so 38377 is deficient (1 is less than 38377). Euler's totient φ(38377) = 38376 numbers up to 38377 share no factor with it.
- 4
The digits of 38377 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 199 steps to reach 1.
38377 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38378 |
| Euler totient φ(n) | 38376 |
| Square | 1472794129 |
| Cube | 56521420288633 |
| Square root | 195.900485 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.8377 × |
38377 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and seventy-seven |
| Binary (base 2) | 1001010111101001 |
| Octal (base 8) | 112751 |
| Hexadecimal (base 16) | 95E9 |
| Base 3 | 1221122101 |
| As time | 38377 seconds = 10 h 39 min 37 s |
Is 38377 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 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 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 9) | 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 38377 a prime number?
Yes. 38377 is divisible only by 1 and itself.
What are the factors of 38377?
1, 38377.
What is 38377 in binary?
1001010111101001 (hexadecimal 95E9, octal 112751).
What is the square root of 38377?
About 195.9005.
Is 38377 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 38377?
38377 is the 4051st prime number.