The number 48981
48981 is a composite number with 8 divisors. Its prime factorisation is 3 × 29 × 563. Divisors (8): 1, 3, 29, 87, 563, 1689, 16327, 48981.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48981: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48981 is composite. Its prime factorisation is
- 3
The divisors add up to 67680; without 48981 itself that is 18699, so 48981 is deficient (18699 is less than 48981). Euler's totient φ(48981) = 31472 numbers up to 48981 share no factor with it.
- 4
The digits of 48981 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48981 = 3 \times 29 \times 563 \]
48981 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 67680 |
| Euler totient φ(n) | 31472 |
| Square | 2399138361 |
| Cube | 117512196060141 |
| Square root | 221.316515 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.8981 × |
48981 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and eighty-one |
| Binary (base 2) | 1011111101010101 |
| Octal (base 8) | 137525 |
| Hexadecimal (base 16) | BF55 |
| Base 3 | 2111012010 |
| As time | 48981 seconds = 13 h 36 min 21 s |
Is 48981 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 (48981 ÷ 3 = 16327) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 2) | 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 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48981 a prime number?
No. 48981 = 3 × 29 × 563, so it is divisible by 3.
What are the factors of 48981?
1, 3, 29, 87, 563, 1689, 16327, 48981.
What is 48981 in binary?
1011111101010101 (hexadecimal BF55, octal 137525).
What is the square root of 48981?
About 221.3165.
Is 48981 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48981?
48981 is a happy number: repeatedly adding the squares of its digits reaches 1.