The number 49962
49962 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 757. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 757, 1514, 2271, 4542, 8327, 16654, 24981, 49962.
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How to work it out
- 1
49962 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49962 is composite. Its prime factorisation is
- 3
The divisors add up to 109152; without 49962 itself that is 59190, so 49962 is abundant (59190 is more than 49962). Euler's totient φ(49962) = 15120 numbers up to 49962 share no factor with it.
- 4
The digits of 49962 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49962 = 2 \times 3 \times 11 \times 757 \]
49962 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 109152 |
| Euler totient φ(n) | 15120 |
| Square | 2496201444 |
| Cube | 124715216545128 |
| Square root | 223.521811 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9962 × |
49962 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and sixty-two |
| Binary (base 2) | 1100001100101010 |
| Octal (base 8) | 141452 |
| Hexadecimal (base 16) | C32A |
| Base 3 | 2112112110 |
| As time | 49962 seconds = 13 h 52 min 42 s |
Is 49962 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49962 ÷ 2 = 24981) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49962 ÷ 3 = 16654) | 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 | Yes (49962 ÷ 6 = 8327) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (49962 ÷ 11 = 4542) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49962 a prime number?
No. 49962 = 2 × 3 × 11 × 757, so it is divisible by 2.
What are the factors of 49962?
1, 2, 3, 6, 11, 22, 33, 66, 757, 1514, 2271, 4542, 8327, 16654, 24981, 49962.
What is 49962 in binary?
1100001100101010 (hexadecimal C32A, octal 141452).
What is the square root of 49962?
About 223.5218.
Is 49962 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 49962?
It is a composite number with 16 divisors.