The number 48073
48073 is the 4951st prime number. Its only divisors are 1 and 48073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48073: the 4951st prime number.
- 2
48073 is prime, so its only factors are 1 and 48073. It is the 4951st prime; the next prime is 48079 and the one before is 48049.
- 3
The divisors add up to 48074; without 48073 itself that is 1, so 48073 is deficient (1 is less than 48073). Euler's totient φ(48073) = 48072 numbers up to 48073 share no factor with it.
- 4
The digits of 48073 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
48073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48074 |
| Euler totient φ(n) | 48072 |
| Square | 2311013329 |
| Cube | 111097343765017 |
| Square root | 219.255559 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.8073 × |
48073 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and seventy-three |
| Binary (base 2) | 1011101111001001 |
| Octal (base 8) | 135711 |
| Hexadecimal (base 16) | BBC9 |
| Base 3 | 2102221111 |
| As time | 48073 seconds = 13 h 21 min 13 s |
Is 48073 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 4) | 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 3) | 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 48073 a prime number?
Yes. 48073 is divisible only by 1 and itself.
What are the factors of 48073?
1, 48073.
What is 48073 in binary?
1011101111001001 (hexadecimal BBC9, octal 135711).
What is the square root of 48073?
About 219.2556.
Is 48073 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 48073?
48073 is the 4951st prime number.