The number 48772
48772 is a composite number with 12 divisors. Its prime factorisation is × 89 × 137. Divisors (12): 1, 2, 4, 89, 137, 178, 274, 356, 548, 12193, 24386, 48772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48772 is composite. Its prime factorisation is
- 3
The divisors add up to 86940; without 48772 itself that is 38168, so 48772 is deficient (38168 is less than 48772). Euler's totient φ(48772) = 23936 numbers up to 48772 share no factor with it.
- 4
The digits of 48772 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48772 = 2^{2} \times 89 \times 137 \]48772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 86940 |
| Euler totient φ(n) | 23936 |
| Square | 2378707984 |
| Cube | 116014345795648 |
| Square root | 220.843836 (= 2√12193) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8772 × |
48772 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and seventy-two |
| Binary (base 2) | 1011111010000100 |
| Octal (base 8) | 137204 |
| Hexadecimal (base 16) | BE84 |
| Base 3 | 2110220101 |
| As time | 48772 seconds = 13 h 32 min 52 s |
Is 48772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48772 ÷ 2 = 24386) | 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 | Yes (48772 ÷ 4 = 12193) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48772 a prime number?
No. 48772 = × 89 × 137, so it is divisible by 2.
What are the factors of 48772?
1, 2, 4, 89, 137, 178, 274, 356, 548, 12193, 24386, 48772.
What is 48772 in binary?
1011111010000100 (hexadecimal BE84, octal 137204).
What is the square root of 48772?
About 220.8438, exactly 2√12193.
Is 48772 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 48772?
It is a composite number with 12 divisors.