The number 36073
36073 is the 3832nd prime number. Its only divisors are 1 and 36073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36073: the 3832nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36073 is prime, so its only factors are 1 and 36073. It is the 3832nd prime; the next prime is 36083 and the one before is 36067.
- 3
The divisors add up to 36074; without 36073 itself that is 1, so 36073 is deficient (1 is less than 36073). Euler's totient φ(36073) = 36072 numbers up to 36073 share no factor with it.
- 4
The digits of 36073 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 178 steps to reach 1.
36073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 36074 |
| Euler totient φ(n) | 36072 |
| Square | 1301261329 |
| Cube | 46940399921017 |
| Square root | 189.928934 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 178 |
| Scientific notation | 3.6073 × |
36073 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and seventy-three |
| Binary (base 2) | 1000110011101001 |
| Octal (base 8) | 106351 |
| Hexadecimal (base 16) | 8CE9 |
| Base 3 | 1211111001 |
| As time | 36073 seconds = 10 h 1 min 13 s |
Is 36073 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 2) | 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 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 4) | 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 36073 a prime number?
Yes. 36073 is divisible only by 1 and itself.
What are the factors of 36073?
1, 36073.
What is 36073 in binary?
1000110011101001 (hexadecimal 8CE9, octal 106351).
What is the square root of 36073?
About 189.9289.
Is 36073 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 36073?
36073 is the 3832nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.