The number 48891
48891 is a composite number with 8 divisors. Its prime factorisation is 3 × 43 × 379. Divisors (8): 1, 3, 43, 129, 379, 1137, 16297, 48891.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48891: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48891 is composite. Its prime factorisation is
- 3
The divisors add up to 66880; without 48891 itself that is 17989, so 48891 is deficient (17989 is less than 48891). Euler's totient φ(48891) = 31752 numbers up to 48891 share no factor with it.
- 4
The digits of 48891 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 220 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48891 = 3 \times 43 \times 379 \]
48891 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 66880 |
| Euler totient φ(n) | 31752 |
| Square | 2390329881 |
| Cube | 116865618211971 |
| Square root | 221.113093 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 220 |
| Scientific notation | 4.8891 × |
48891 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and ninety-one |
| Binary (base 2) | 1011111011111011 |
| Octal (base 8) | 137373 |
| Hexadecimal (base 16) | BEFB |
| Base 3 | 2111001210 |
| As time | 48891 seconds = 13 h 34 min 51 s |
Is 48891 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 (48891 ÷ 3 = 16297) | 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 1) | 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 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 1) | 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 48891 a prime number?
No. 48891 = 3 × 43 × 379, so it is divisible by 3.
What are the factors of 48891?
1, 3, 43, 129, 379, 1137, 16297, 48891.
What is 48891 in binary?
1011111011111011 (hexadecimal BEFB, octal 137373).
What is the square root of 48891?
About 221.1131.
Is 48891 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48891?
48891 is a happy number: repeatedly adding the squares of its digits reaches 1.