The number 48706
48706 is a composite number with 16 divisors. Its prime factorisation is 2 × × 71. Divisors (16): 1, 2, 7, 14, 49, 71, 98, 142, 343, 497, 686, 994, 3479, 6958, 24353, 48706.
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How to work it out
- 1
48706 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48706 is composite. Its prime factorisation is
- 3
The divisors add up to 86400; without 48706 itself that is 37694, so 48706 is deficient (37694 is less than 48706). Euler's totient φ(48706) = 20580 numbers up to 48706 share no factor with it.
- 4
The digits of 48706 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48706 = 2 \times 7^{3} \times 71 \]48706 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 86400 |
| Euler totient φ(n) | 20580 |
| Square | 2372274436 |
| Cube | 115543998679816 |
| Square root | 220.694359 (= 7√994) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.8706 × |
48706 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and six |
| Binary (base 2) | 1011111001000010 |
| Octal (base 8) | 137102 |
| Hexadecimal (base 16) | BE42 |
| Base 3 | 2110210221 |
| As time | 48706 seconds = 13 h 31 min 46 s |
Is 48706 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48706 ÷ 2 = 24353) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48706 ÷ 7 = 6958) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48706 a prime number?
No. 48706 = 2 × × 71, so it is divisible by 2.
What are the factors of 48706?
1, 2, 7, 14, 49, 71, 98, 142, 343, 497, 686, 994, 3479, 6958, 24353, 48706.
What is 48706 in binary?
1011111001000010 (hexadecimal BE42, octal 137102).
What is the square root of 48706?
About 220.6944, exactly 7√994.
Is 48706 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 48706?
It is a composite number with 16 divisors.