The number 48627
48627 is a composite number with 8 divisors. Its prime factorisation is × 1801. Divisors (8): 1, 3, 9, 27, 1801, 5403, 16209, 48627.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48627: a Harshad number: divisible by its digit sum 27.
- 2
48627 is composite. Its prime factorisation is
- 3
The divisors add up to 72080; without 48627 itself that is 23453, so 48627 is deficient (23453 is less than 48627). Euler's totient φ(48627) = 32400 numbers up to 48627 share no factor with it.
- 4
The digits of 48627 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48627 = 3^{3} \times 1801 \]48627 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 72080 |
| Euler totient φ(n) | 32400 |
| Square | 2364585129 |
| Cube | 114982681067883 |
| Square root | 220.515306 (= 3√5403) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.8627 × |
48627 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and twenty-seven |
| Binary (base 2) | 1011110111110011 |
| Octal (base 8) | 136763 |
| Hexadecimal (base 16) | BDF3 |
| Base 3 | 2110201000 |
| As time | 48627 seconds = 13 h 30 min 27 s |
Is 48627 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48627 ÷ 3 = 16209) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48627 ÷ 9 = 5403) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48627 a prime number?
No. 48627 = × 1801, so it is divisible by 3.
What are the factors of 48627?
1, 3, 9, 27, 1801, 5403, 16209, 48627.
What is 48627 in binary?
1011110111110011 (hexadecimal BDF3, octal 136763).
What is the square root of 48627?
About 220.5153, exactly 3√5403.
Is 48627 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48627?
48627 is a Harshad number: divisible by its digit sum 27.