The number 36973
36973 is the 3921st prime number. Its only divisors are 1 and 36973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36973: the 3921st prime number.
- 2
36973 is prime, so its only factors are 1 and 36973. It is the 3921st prime; the next prime is 36979 and the one before is 36947.
- 3
The divisors add up to 36974; without 36973 itself that is 1, so 36973 is deficient (1 is less than 36973). Euler's totient φ(36973) = 36972 numbers up to 36973 share no factor with it.
- 4
The digits of 36973 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 93 steps to reach 1.
36973 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36974 |
| Euler totient φ(n) | 36972 |
| Square | 1367002729 |
| Cube | 50542191899317 |
| Square root | 192.283645 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.6973 × |
36973 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand nine hundred and seventy-three |
| Binary (base 2) | 1001000001101101 |
| Octal (base 8) | 110155 |
| Hexadecimal (base 16) | 906D |
| Base 3 | 1212201101 |
| As time | 36973 seconds = 10 h 16 min 13 s |
Is 36973 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 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 6) | 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 5) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36973 a prime number?
Yes. 36973 is divisible only by 1 and itself.
What are the factors of 36973?
1, 36973.
What is 36973 in binary?
1001000001101101 (hexadecimal 906D, octal 110155).
What is the square root of 36973?
About 192.2836.
Is 36973 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 36973?
36973 is the 3921st prime number.