The number 48408
48408 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2017. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2017, 4034, 6051, 8068, 12102, 16136, 24204, 48408.
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How to work it out
- 1
What is special about 48408: a Harshad number: divisible by its digit sum 24.
- 2
48408 is composite. Its prime factorisation is
- 3
The divisors add up to 121080; without 48408 itself that is 72672, so 48408 is abundant (72672 is more than 48408). Euler's totient φ(48408) = 16128 numbers up to 48408 share no factor with it.
- 4
The digits of 48408 add up to 24, 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
\[ 48408 = 2^{3} \times 3 \times 2017 \]48408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 121080 |
| Euler totient φ(n) | 16128 |
| Square | 2343334464 |
| Cube | 113436134733312 |
| Square root | 220.018181 (= 2√12102) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8408 × |
48408 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and eight |
| Binary (base 2) | 1011110100011000 |
| Octal (base 8) | 136430 |
| Hexadecimal (base 16) | BD18 |
| Base 3 | 2110101220 |
| As time | 48408 seconds = 13 h 26 min 48 s |
Is 48408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48408 ÷ 2 = 24204) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48408 ÷ 3 = 16136) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48408 ÷ 4 = 12102) | 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 | Yes (48408 ÷ 6 = 8068) | 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 | Yes (48408 ÷ 8 = 6051) | 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 8) | 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 | Yes (48408 ÷ 12 = 4034) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48408 a prime number?
No. 48408 = × 3 × 2017, so it is divisible by 2.
What are the factors of 48408?
1, 2, 3, 4, 6, 8, 12, 24, 2017, 4034, 6051, 8068, 12102, 16136, 24204, 48408.
What is 48408 in binary?
1011110100011000 (hexadecimal BD18, octal 136430).
What is the square root of 48408?
About 220.0182, exactly 2√12102.
Is 48408 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48408?
48408 is a Harshad number: divisible by its digit sum 24.