The number 49904
49904 is a composite number with 10 divisors. Its prime factorisation is × 3119. Divisors (10): 1, 2, 4, 8, 16, 3119, 6238, 12476, 24952, 49904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49904 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49904 is composite. Its prime factorisation is
- 3
The divisors add up to 96720; without 49904 itself that is 46816, so 49904 is deficient (46816 is less than 49904). Euler's totient φ(49904) = 24944 numbers up to 49904 share no factor with it.
- 4
The digits of 49904 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49904 = 2^{4} \times 3119 \]49904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 96720 |
| Euler totient φ(n) | 24944 |
| Square | 2490409216 |
| Cube | 124281381515264 |
| Square root | 223.392032 (= 4√3119) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.9904 × |
49904 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and four |
| Binary (base 2) | 1100001011110000 |
| Octal (base 8) | 141360 |
| Hexadecimal (base 16) | C2F0 |
| Base 3 | 2112110022 |
| As time | 49904 seconds = 13 h 51 min 44 s |
Is 49904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49904 ÷ 2 = 24952) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49904 ÷ 4 = 12476) | 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 2) | 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 | Yes (49904 ÷ 8 = 6238) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49904 a prime number?
No. 49904 = × 3119, so it is divisible by 2.
What are the factors of 49904?
1, 2, 4, 8, 16, 3119, 6238, 12476, 24952, 49904.
What is 49904 in binary?
1100001011110000 (hexadecimal C2F0, octal 141360).
What is the square root of 49904?
About 223.3920, exactly 4√3119.
Is 49904 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 49904?
It is a composite number with 10 divisors.