The number 48807
48807 is a composite number with 24 divisors. Its prime factorisation is × 11 × 17 × 29. Divisors (24): 1, 3, 9, 11, 17, 29, 33, 51, 87, 99, 153, 187, 261, 319, 493, 561 … 48807.
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How to work it out
- 1
What is special about 48807: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48807 is composite. Its prime factorisation is
- 3
The divisors add up to 84240; without 48807 itself that is 35433, so 48807 is deficient (35433 is less than 48807). Euler's totient φ(48807) = 26880 numbers up to 48807 share no factor with it.
- 4
The digits of 48807 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
\[ 48807 = 3^{2} \times 11 \times 17 \times 29 \]48807 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 84240 |
| Euler totient φ(n) | 26880 |
| Square | 2382123249 |
| Cube | 116264289413943 |
| Square root | 220.923064 (= 3√5423) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.8807 × |
48807 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and seven |
| Binary (base 2) | 1011111010100111 |
| Octal (base 8) | 137247 |
| Hexadecimal (base 16) | BEA7 |
| Base 3 | 2110221200 |
| As time | 48807 seconds = 13 h 33 min 27 s |
Is 48807 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 (48807 ÷ 3 = 16269) | 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48807 ÷ 9 = 5423) | 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 | Yes (48807 ÷ 11 = 4437) | 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 48807 a prime number?
No. 48807 = × 11 × 17 × 29, so it is divisible by 3.
What are the factors of 48807?
1, 3, 9, 11, 17, 29, 33, 51, 87, 99, 153, 187, 261, 319, 493, 561, 957, 1479, 1683, 2871, 4437, 5423, 16269, 48807.
What is 48807 in binary?
1011111010100111 (hexadecimal BEA7, octal 137247).
What is the square root of 48807?
About 220.9231, exactly 3√5423.
Is 48807 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48807?
48807 is a happy number: repeatedly adding the squares of its digits reaches 1.