The number 36979
36979 is the 3922nd prime number. Its only divisors are 1 and 36979.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36979: the 3922nd prime number.
- 2
36979 is prime, so its only factors are 1 and 36979. It is the 3922nd prime; the next prime is 36997 and the one before is 36973.
- 3
The divisors add up to 36980; without 36979 itself that is 1, so 36979 is deficient (1 is less than 36979). Euler's totient φ(36979) = 36978 numbers up to 36979 share no factor with it.
- 4
The digits of 36979 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
36979 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36980 |
| Euler totient φ(n) | 36978 |
| Square | 1367446441 |
| Cube | 50566801941739 |
| Square root | 192.299246 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.6979 × |
36979 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand nine hundred and seventy-nine |
| Binary (base 2) | 1001000001110011 |
| Octal (base 8) | 110163 |
| Hexadecimal (base 16) | 9073 |
| Base 3 | 1212201121 |
| As time | 36979 seconds = 10 h 16 min 19 s |
Is 36979 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 4) | 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36979 a prime number?
Yes. 36979 is divisible only by 1 and itself.
What are the factors of 36979?
1, 36979.
What is 36979 in binary?
1001000001110011 (hexadecimal 9073, octal 110163).
What is the square root of 36979?
About 192.2992.
Is 36979 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 36979?
36979 is the 3922nd prime number.