The number 48348
48348 is a composite number with 36 divisors. Its prime factorisation is × × 17 × 79. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 79, 102, 153 … 48348.
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How to work it out
- 1
48348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48348 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 48348 itself that is 82692, so 48348 is abundant (82692 is more than 48348). Euler's totient φ(48348) = 14976 numbers up to 48348 share no factor with it.
- 4
The digits of 48348 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48348 = 2^{2} \times 3^{2} \times 17 \times 79 \]48348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 14976 |
| Square | 2337529104 |
| Cube | 113014857120192 |
| Square root | 219.881786 (= 6√1343) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.8348 × |
48348 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and forty-eight |
| Binary (base 2) | 1011110011011100 |
| Octal (base 8) | 136334 |
| Hexadecimal (base 16) | BCDC |
| Base 3 | 2110022200 |
| As time | 48348 seconds = 13 h 25 min 48 s |
Is 48348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48348 ÷ 2 = 24174) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48348 ÷ 3 = 16116) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48348 ÷ 4 = 12087) | 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 (48348 ÷ 6 = 8058) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48348 ÷ 9 = 5372) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48348 ÷ 12 = 4029) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48348 a prime number?
No. 48348 = × × 17 × 79, so it is divisible by 2.
What are the factors of 48348?
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 79, 102, 153, 158, 204, 237, 306, 316, 474, 612, 711, 948, 1343, 1422, 2686, 2844, 4029, 5372, 8058, 12087, 16116, 24174, 48348.
What is 48348 in binary?
1011110011011100 (hexadecimal BCDC, octal 136334).
What is the square root of 48348?
About 219.8818, exactly 6√1343.
Is 48348 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48348?
It is a composite number with 36 divisors.