The number 48272
48272 is a composite number with 20 divisors. Its prime factorisation is × 7 × 431. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 431, 862, 1724, 3017, 3448, 6034 … 48272.
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How to work it out
- 1
48272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48272 is composite. Its prime factorisation is
- 3
The divisors add up to 107136; without 48272 itself that is 58864, so 48272 is abundant (58864 is more than 48272). Euler's totient φ(48272) = 20640 numbers up to 48272 share no factor with it.
- 4
The digits of 48272 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48272 = 2^{4} \times 7 \times 431 \]48272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 107136 |
| Euler totient φ(n) | 20640 |
| Square | 2330185984 |
| Cube | 112482737819648 |
| Square root | 219.708898 (= 4√3017) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.8272 × |
48272 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and seventy-two |
| Binary (base 2) | 1011110010010000 |
| Octal (base 8) | 136220 |
| Hexadecimal (base 16) | BC90 |
| Base 3 | 2110012212 |
| As time | 48272 seconds = 13 h 24 min 32 s |
Is 48272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48272 ÷ 2 = 24136) | 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 (48272 ÷ 4 = 12068) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (48272 ÷ 7 = 6896) | 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 (48272 ÷ 8 = 6034) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48272 a prime number?
No. 48272 = × 7 × 431, so it is divisible by 2.
What are the factors of 48272?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 431, 862, 1724, 3017, 3448, 6034, 6896, 12068, 24136, 48272.
What is 48272 in binary?
1011110010010000 (hexadecimal BC90, octal 136220).
What is the square root of 48272?
About 219.7089, exactly 4√3017.
Is 48272 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 48272?
It is a composite number with 20 divisors.