The number 35983
35983 is the 3822nd prime number. Its only divisors are 1 and 35983.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35983: the 3822nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
35983 is prime, so its only factors are 1 and 35983. It is the 3822nd prime; the next prime is 35993 and the one before is 35977.
- 3
The divisors add up to 35984; without 35983 itself that is 1, so 35983 is deficient (1 is less than 35983). Euler's totient φ(35983) = 35982 numbers up to 35983 share no factor with it.
- 4
The digits of 35983 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 142 steps to reach 1.
35983 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35984 |
| Euler totient φ(n) | 35982 |
| Square | 1294776289 |
| Cube | 46589935207087 |
| Square root | 189.691855 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5983 × |
35983 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand nine hundred and eighty-three |
| Binary (base 2) | 1000110010001111 |
| Octal (base 8) | 106217 |
| Hexadecimal (base 16) | 8C8F |
| Base 3 | 1211100201 |
| As time | 35983 seconds = 9 h 59 min 43 s |
Is 35983 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 7) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35983 a prime number?
Yes. 35983 is divisible only by 1 and itself.
What are the factors of 35983?
1, 35983.
What is 35983 in binary?
1000110010001111 (hexadecimal 8C8F, octal 106217).
What is the square root of 35983?
About 189.6919.
Is 35983 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 35983?
35983 is the 3822nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.