The number 48675
48675 is a composite number with 24 divisors. Its prime factorisation is 3 × × 11 × 59. Divisors (24): 1, 3, 5, 11, 15, 25, 33, 55, 59, 75, 165, 177, 275, 295, 649, 825 … 48675.
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How to work it out
- 1
What is special about 48675: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48675 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 48675 itself that is 40605, so 48675 is deficient (40605 is less than 48675). Euler's totient φ(48675) = 23200 numbers up to 48675 share no factor with it.
- 4
The digits of 48675 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48675 = 3 \times 5^{2} \times 11 \times 59 \]48675 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 23200 |
| Square | 2369255625 |
| Cube | 115323517546875 |
| Square root | 220.624115 (= 5√1947) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8675 × |
48675 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and seventy-five |
| Binary (base 2) | 1011111000100011 |
| Octal (base 8) | 137043 |
| Hexadecimal (base 16) | BE23 |
| Base 3 | 2110202210 |
| As time | 48675 seconds = 13 h 31 min 15 s |
Is 48675 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 (48675 ÷ 3 = 16225) | 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 | Yes (48675 ÷ 5 = 9735) | 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 4) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (48675 ÷ 11 = 4425) | 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 48675 a prime number?
No. 48675 = 3 × × 11 × 59, so it is divisible by 3.
What are the factors of 48675?
1, 3, 5, 11, 15, 25, 33, 55, 59, 75, 165, 177, 275, 295, 649, 825, 885, 1475, 1947, 3245, 4425, 9735, 16225, 48675.
What is 48675 in binary?
1011111000100011 (hexadecimal BE23, octal 137043).
What is the square root of 48675?
About 220.6241, exactly 5√1947.
Is 48675 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48675?
48675 is a happy number: repeatedly adding the squares of its digits reaches 1.