The number 49729
49729 is a perfect square (223²). Its prime factorisation is . Divisors (3): 1, 223, 49729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49729: a perfect square (223²); the square of a prime (223²).
- 2
49729 is composite. Its prime factorisation is
- 3
The divisors add up to 49953; without 49729 itself that is 224, so 49729 is deficient (224 is less than 49729). Euler's totient φ(49729) = 49506 numbers up to 49729 share no factor with it.
- 4
The digits of 49729 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49729 = 223^{2} \]49729 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 49953 |
| Euler totient φ(n) | 49506 |
| Square | 2472973441 |
| Cube | 122978496247489 |
| Square root | 223 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9729 × |
| Perfect power |
49729 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and twenty-nine |
| Binary (base 2) | 1100001001000001 |
| Octal (base 8) | 141101 |
| Hexadecimal (base 16) | C241 |
| Base 3 | 2112012211 |
| As time | 49729 seconds = 13 h 48 min 49 s |
Is 49729 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49729 a prime number?
No. 49729 = , so it is divisible by 223.
What are the factors of 49729?
1, 223, 49729.
What is 49729 in binary?
1100001001000001 (hexadecimal C241, octal 141101).
What is the square root of 49729?
223, because 223 × 223 = 49729.
Is 49729 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 49729?
49729 is a perfect square (223²); the square of a prime (223²).