The number 49974
49974 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 8329. Divisors (8): 1, 2, 3, 6, 8329, 16658, 24987, 49974.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49974 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49974 is composite. Its prime factorisation is
- 3
The divisors add up to 99960; without 49974 itself that is 49986, so 49974 is abundant (49986 is more than 49974). Euler's totient φ(49974) = 16656 numbers up to 49974 share no factor with it.
- 4
The digits of 49974 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49974 = 2 \times 3 \times 8329 \]
49974 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 99960 |
| Euler totient φ(n) | 16656 |
| Square | 2497400676 |
| Cube | 124805101382424 |
| Square root | 223.548652 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.9974 × |
49974 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and seventy-four |
| Binary (base 2) | 1100001100110110 |
| Octal (base 8) | 141466 |
| Hexadecimal (base 16) | C336 |
| Base 3 | 2112112220 |
| As time | 49974 seconds = 13 h 52 min 54 s |
Is 49974 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49974 ÷ 2 = 24987) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49974 ÷ 3 = 16658) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49974 ÷ 6 = 8329) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 49974 a prime number?
No. 49974 = 2 × 3 × 8329, so it is divisible by 2.
What are the factors of 49974?
1, 2, 3, 6, 8329, 16658, 24987, 49974.
What is 49974 in binary?
1100001100110110 (hexadecimal C336, octal 141466).
What is the square root of 49974?
About 223.5487.
Is 49974 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 49974?
It is a composite number with 8 divisors.