The number 48030
48030 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 1601. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 1601, 3202, 4803, 8005, 9606, 16010, 24015, 48030.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48030: a Harshad number: divisible by its digit sum 15.
- 2
48030 is composite. Its prime factorisation is
- 3
The divisors add up to 115344; without 48030 itself that is 67314, so 48030 is abundant (67314 is more than 48030). Euler's totient φ(48030) = 12800 numbers up to 48030 share no factor with it.
- 4
The digits of 48030 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48030 = 2 \times 3 \times 5 \times 1601 \]
48030 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 115344 |
| Euler totient φ(n) | 12800 |
| Square | 2306880900 |
| Cube | 110799489627000 |
| Square root | 219.157478 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.803 × |
48030 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and thirty |
| Binary (base 2) | 1011101110011110 |
| Octal (base 8) | 135636 |
| Hexadecimal (base 16) | BB9E |
| Base 3 | 2102212220 |
| As time | 48030 seconds = 13 h 20 min 30 s |
Is 48030 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48030 ÷ 2 = 24015) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48030 ÷ 3 = 16010) | 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 | Yes (48030 ÷ 5 = 9606) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48030 ÷ 6 = 8005) | 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 6) | 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 | Yes (48030 ÷ 10 = 4803) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48030 a prime number?
No. 48030 = 2 × 3 × 5 × 1601, so it is divisible by 2.
What are the factors of 48030?
1, 2, 3, 5, 6, 10, 15, 30, 1601, 3202, 4803, 8005, 9606, 16010, 24015, 48030.
What is 48030 in binary?
1011101110011110 (hexadecimal BB9E, octal 135636).
What is the square root of 48030?
About 219.1575.
Is 48030 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 48030?
48030 is a Harshad number: divisible by its digit sum 15.