The number 48729
48729 is a composite number with 8 divisors. Its prime factorisation is 3 × 37 × 439. Divisors (8): 1, 3, 37, 111, 439, 1317, 16243, 48729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48729 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48729 is composite. Its prime factorisation is
- 3
The divisors add up to 66880; without 48729 itself that is 18151, so 48729 is deficient (18151 is less than 48729). Euler's totient φ(48729) = 31536 numbers up to 48729 share no factor with it.
- 4
The digits of 48729 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48729 = 3 \times 37 \times 439 \]
48729 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 66880 |
| Euler totient φ(n) | 31536 |
| Square | 2374515441 |
| Cube | 115707762924489 |
| Square root | 220.746461 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8729 × |
48729 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and twenty-nine |
| Binary (base 2) | 1011111001011001 |
| Octal (base 8) | 137131 |
| Hexadecimal (base 16) | BE59 |
| Base 3 | 2110211210 |
| As time | 48729 seconds = 13 h 32 min 9 s |
Is 48729 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 (48729 ÷ 3 = 16243) | 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 4) | 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 48729 a prime number?
No. 48729 = 3 × 37 × 439, so it is divisible by 3.
What are the factors of 48729?
1, 3, 37, 111, 439, 1317, 16243, 48729.
What is 48729 in binary?
1011111001011001 (hexadecimal BE59, octal 137131).
What is the square root of 48729?
About 220.7465.
Is 48729 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48729?
It is a composite number with 8 divisors.