The number 48002
48002 is a composite number with 4 divisors. Its prime factorisation is 2 × 24001. Divisors (4): 1, 2, 24001, 48002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48002: a semiprime: 2 × 24001, the product of two primes.
- 2
48002 is composite. Its prime factorisation is
- 3
The divisors add up to 72006; without 48002 itself that is 24004, so 48002 is deficient (24004 is less than 48002). Euler's totient φ(48002) = 24000 numbers up to 48002 share no factor with it.
- 4
The digits of 48002 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48002 = 2 \times 24001 \]
48002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 72006 |
| Euler totient φ(n) | 24000 |
| Square | 2304192004 |
| Cube | 110605824576008 |
| Square root | 219.093587 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8002 × |
48002 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and two |
| Binary (base 2) | 1011101110000010 |
| Octal (base 8) | 135602 |
| Hexadecimal (base 16) | BB82 |
| Base 3 | 2102211212 |
| As time | 48002 seconds = 13 h 20 min 2 s |
Is 48002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48002 ÷ 2 = 24001) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48002 a prime number?
No. 48002 = 2 × 24001, so it is divisible by 2.
What are the factors of 48002?
1, 2, 24001, 48002.
What is 48002 in binary?
1011101110000010 (hexadecimal BB82, octal 135602).
What is the square root of 48002?
About 219.0936.
Is 48002 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 48002?
48002 is a semiprime: 2 × 24001, the product of two primes.