The number 49582
49582 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1907. Divisors (8): 1, 2, 13, 26, 1907, 3814, 24791, 49582.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49582: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49582 is composite. Its prime factorisation is
- 3
The divisors add up to 80136; without 49582 itself that is 30554, so 49582 is deficient (30554 is less than 49582). Euler's totient φ(49582) = 22872 numbers up to 49582 share no factor with it.
- 4
The digits of 49582 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49582 = 2 \times 13 \times 1907 \]
49582 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 80136 |
| Euler totient φ(n) | 22872 |
| Square | 2458374724 |
| Cube | 121891135565368 |
| Square root | 222.670160 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9582 × |
49582 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand five hundred and eighty-two |
| Binary (base 2) | 1100000110101110 |
| Octal (base 8) | 140656 |
| Hexadecimal (base 16) | C1AE |
| Base 3 | 2112000101 |
| As time | 49582 seconds = 13 h 46 min 22 s |
Is 49582 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49582 ÷ 2 = 24791) | 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 2) | 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 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 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49582 a prime number?
No. 49582 = 2 × 13 × 1907, so it is divisible by 2.
What are the factors of 49582?
1, 2, 13, 26, 1907, 3814, 24791, 49582.
What is 49582 in binary?
1100000110101110 (hexadecimal C1AE, octal 140656).
What is the square root of 49582?
About 222.6702.
Is 49582 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 49582?
49582 is a happy number: repeatedly adding the squares of its digits reaches 1.