The number 48023
48023 is the 4948th prime number. Its only divisors are 1 and 48023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48023: the 4948th prime number.
- 2
48023 is prime, so its only factors are 1 and 48023. It is the 4948th prime; the next prime is 48029 and the one before is 48017.
- 3
The divisors add up to 48024; without 48023 itself that is 1, so 48023 is deficient (1 is less than 48023). Euler's totient φ(48023) = 48022 numbers up to 48023 share no factor with it.
- 4
The digits of 48023 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
48023 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48024 |
| Euler totient φ(n) | 48022 |
| Square | 2306208529 |
| Cube | 110751052188167 |
| Square root | 219.141507 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.8023 × |
48023 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and twenty-three |
| Binary (base 2) | 1011101110010111 |
| Octal (base 8) | 135627 |
| Hexadecimal (base 16) | BB97 |
| Base 3 | 2102212122 |
| As time | 48023 seconds = 13 h 20 min 23 s |
Is 48023 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48023 a prime number?
Yes. 48023 is divisible only by 1 and itself.
What are the factors of 48023?
1, 48023.
What is 48023 in binary?
1011101110010111 (hexadecimal BB97, octal 135627).
What is the square root of 48023?
About 219.1415.
Is 48023 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 48023?
48023 is the 4948th prime number.