The number 36473
36473 is the 3867th prime number. Its only divisors are 1 and 36473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36473: the 3867th prime number.
- 2
36473 is prime, so its only factors are 1 and 36473. It is the 3867th prime; the next prime is 36479 and the one before is 36469.
- 3
The divisors add up to 36474; without 36473 itself that is 1, so 36473 is deficient (1 is less than 36473). Euler's totient φ(36473) = 36472 numbers up to 36473 share no factor with it.
- 4
The digits of 36473 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
36473 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36474 |
| Euler totient φ(n) | 36472 |
| Square | 1330279729 |
| Cube | 48519292555817 |
| Square root | 190.979056 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.6473 × |
36473 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand four hundred and seventy-three |
| Binary (base 2) | 1000111001111001 |
| Octal (base 8) | 107171 |
| Hexadecimal (base 16) | 8E79 |
| Base 3 | 1212000212 |
| As time | 36473 seconds = 10 h 7 min 53 s |
Is 36473 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 2) | 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 5) | 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 5) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36473 a prime number?
Yes. 36473 is divisible only by 1 and itself.
What are the factors of 36473?
1, 36473.
What is 36473 in binary?
1000111001111001 (hexadecimal 8E79, octal 107171).
What is the square root of 36473?
About 190.9791.
Is 36473 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 36473?
36473 is the 3867th prime number.