The number 90073
90073 is a twin prime (90071 and 90073 are both prime) and the 8725th prime number. Its only divisors are 1 and 90073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 90073: a twin prime (90071 and 90073 are both prime); the 8725th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
90073 is prime, so its only factors are 1 and 90073. It is the 8725th prime; the next prime is 90089 and the one before is 90071.
- 3
The divisors add up to 90074; without 90073 itself that is 1, so 90073 is deficient (1 is less than 90073). Euler's totient φ(90073) = 90072 numbers up to 90073 share no factor with it.
- 4
The digits of 90073 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 177 steps to reach 1.
90073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 90074 |
| Euler totient φ(n) | 90072 |
| Square | 8113145329 |
| Cube | 730775339219017 |
| Square root | 300.121642 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 177 |
| Scientific notation | 9.0073 × |
90073 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand and seventy-three |
| Binary (base 2) | 10101111111011001 |
| Octal (base 8) | 257731 |
| Hexadecimal (base 16) | 15FD9 |
| Base 3 | 11120120001 |
| As time | 90073 seconds = 25 h 1 min 13 s |
Is 90073 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 4) | 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 5) | 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 90073 a prime number?
Yes. 90073 is divisible only by 1 and itself.
What are the factors of 90073?
1, 90073.
What is 90073 in binary?
10101111111011001 (hexadecimal 15FD9, octal 257731).
What is the square root of 90073?
About 300.1216.
Is 90073 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 90073?
90073 is a twin prime (90071 and 90073 are both prime); the 8725th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.