The number 48003
48003 is a composite number with 4 divisors. Its prime factorisation is 3 × 16001. Divisors (4): 1, 3, 16001, 48003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48003: a semiprime: 3 × 16001, the product of two primes.
- 2
48003 is composite. Its prime factorisation is
- 3
The divisors add up to 64008; without 48003 itself that is 16005, so 48003 is deficient (16005 is less than 48003). Euler's totient φ(48003) = 32000 numbers up to 48003 share no factor with it.
- 4
The digits of 48003 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48003 = 3 \times 16001 \]
48003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 64008 |
| Euler totient φ(n) | 32000 |
| Square | 2304288009 |
| Cube | 110612737296027 |
| Square root | 219.095869 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8003 × |
48003 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and three |
| Binary (base 2) | 1011101110000011 |
| Octal (base 8) | 135603 |
| Hexadecimal (base 16) | BB83 |
| Base 3 | 2102211220 |
| As time | 48003 seconds = 13 h 20 min 3 s |
Is 48003 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 | Yes (48003 ÷ 3 = 16001) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48003 a prime number?
No. 48003 = 3 × 16001, so it is divisible by 3.
What are the factors of 48003?
1, 3, 16001, 48003.
What is 48003 in binary?
1011101110000011 (hexadecimal BB83, octal 135603).
What is the square root of 48003?
About 219.0959.
Is 48003 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 48003?
48003 is a semiprime: 3 × 16001, the product of two primes.