The number 48001
48001 is a composite number with 4 divisors. Its prime factorisation is 23 × 2087. Divisors (4): 1, 23, 2087, 48001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48001: a semiprime: 23 × 2087, the product of two primes.
- 2
48001 is composite. Its prime factorisation is
- 3
The divisors add up to 50112; without 48001 itself that is 2111, so 48001 is deficient (2111 is less than 48001). Euler's totient φ(48001) = 45892 numbers up to 48001 share no factor with it.
- 4
The digits of 48001 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 220 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48001 = 23 \times 2087 \]
48001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 50112 |
| Euler totient φ(n) | 45892 |
| Square | 2304096001 |
| Cube | 110598912144001 |
| Square root | 219.091305 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 220 |
| Scientific notation | 4.8001 × |
48001 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and one |
| Binary (base 2) | 1011101110000001 |
| Octal (base 8) | 135601 |
| Hexadecimal (base 16) | BB81 |
| Base 3 | 2102211211 |
| As time | 48001 seconds = 13 h 20 min 1 s |
Is 48001 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 1) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48001 a prime number?
No. 48001 = 23 × 2087, so it is divisible by 23.
What are the factors of 48001?
1, 23, 2087, 48001.
What is 48001 in binary?
1011101110000001 (hexadecimal BB81, octal 135601).
What is the square root of 48001?
About 219.0913.
Is 48001 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 48001?
48001 is a semiprime: 23 × 2087, the product of two primes.