The number 48977
48977 is a composite number with 8 divisors. Its prime factorisation is 17 × 43 × 67. Divisors (8): 1, 17, 43, 67, 731, 1139, 2881, 48977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48977 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48977 is composite. Its prime factorisation is
- 3
The divisors add up to 53856; without 48977 itself that is 4879, so 48977 is deficient (4879 is less than 48977). Euler's totient φ(48977) = 44352 numbers up to 48977 share no factor with it.
- 4
The digits of 48977 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48977 = 17 \times 43 \times 67 \]
48977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 53856 |
| Euler totient φ(n) | 44352 |
| Square | 2398746529 |
| Cube | 117483408750833 |
| Square root | 221.307478 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.8977 × |
48977 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and seventy-seven |
| Binary (base 2) | 1011111101010001 |
| Octal (base 8) | 137521 |
| Hexadecimal (base 16) | BF51 |
| Base 3 | 2111011222 |
| As time | 48977 seconds = 13 h 36 min 17 s |
Is 48977 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 | No (remainder 2) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48977 a prime number?
No. 48977 = 17 × 43 × 67, so it is divisible by 17.
What are the factors of 48977?
1, 17, 43, 67, 731, 1139, 2881, 48977.
What is 48977 in binary?
1011111101010001 (hexadecimal BF51, octal 137521).
What is the square root of 48977?
About 221.3075.
Is 48977 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 48977?
It is a composite number with 8 divisors.