The number 48368
48368 is a composite number with 10 divisors. Its prime factorisation is × 3023. Divisors (10): 1, 2, 4, 8, 16, 3023, 6046, 12092, 24184, 48368.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48368 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48368 is composite. Its prime factorisation is
- 3
The divisors add up to 93744; without 48368 itself that is 45376, so 48368 is deficient (45376 is less than 48368). Euler's totient φ(48368) = 24176 numbers up to 48368 share no factor with it.
- 4
The digits of 48368 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48368 = 2^{4} \times 3023 \]48368 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 93744 |
| Euler totient φ(n) | 24176 |
| Square | 2339463424 |
| Cube | 113155166892032 |
| Square root | 219.927261 (= 4√3023) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8368 × |
48368 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and sixty-eight |
| Binary (base 2) | 1011110011110000 |
| Octal (base 8) | 136360 |
| Hexadecimal (base 16) | BCF0 |
| Base 3 | 2110100102 |
| As time | 48368 seconds = 13 h 26 min 8 s |
Is 48368 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48368 ÷ 2 = 24184) | 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 | Yes (48368 ÷ 4 = 12092) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (48368 ÷ 8 = 6046) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48368 a prime number?
No. 48368 = × 3023, so it is divisible by 2.
What are the factors of 48368?
1, 2, 4, 8, 16, 3023, 6046, 12092, 24184, 48368.
What is 48368 in binary?
1011110011110000 (hexadecimal BCF0, octal 136360).
What is the square root of 48368?
About 219.9273, exactly 4√3023.
Is 48368 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 48368?
It is a composite number with 10 divisors.