The number 35977
35977 is the 3821st prime number. Its only divisors are 1 and 35977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35977: the 3821st prime number.
- 2
35977 is prime, so its only factors are 1 and 35977. It is the 3821st prime; the next prime is 35983 and the one before is 35969.
- 3
The divisors add up to 35978; without 35977 itself that is 1, so 35977 is deficient (1 is less than 35977). Euler's totient φ(35977) = 35976 numbers up to 35977 share no factor with it.
- 4
The digits of 35977 add up to 31, 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.
35977 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35978 |
| Euler totient φ(n) | 35976 |
| Square | 1294344529 |
| Cube | 46566633119833 |
| Square root | 189.676040 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.5977 × |
35977 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand nine hundred and seventy-seven |
| Binary (base 2) | 1000110010001001 |
| Octal (base 8) | 106211 |
| Hexadecimal (base 16) | 8C89 |
| Base 3 | 1211100111 |
| As time | 35977 seconds = 9 h 59 min 37 s |
Is 35977 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 4) | 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 7) | 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 35977 a prime number?
Yes. 35977 is divisible only by 1 and itself.
What are the factors of 35977?
1, 35977.
What is 35977 in binary?
1000110010001001 (hexadecimal 8C89, octal 106211).
What is the square root of 35977?
About 189.6760.
Is 35977 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 35977?
35977 is the 3821st prime number.