The number 49004
49004 is a composite number with 6 divisors. Its prime factorisation is × 12251. Divisors (6): 1, 2, 4, 12251, 24502, 49004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49004 is composite. Its prime factorisation is
- 3
The divisors add up to 85764; without 49004 itself that is 36760, so 49004 is deficient (36760 is less than 49004). Euler's totient φ(49004) = 24500 numbers up to 49004 share no factor with it.
- 4
The digits of 49004 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49004 = 2^{2} \times 12251 \]49004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 85764 |
| Euler totient φ(n) | 24500 |
| Square | 2401392016 |
| Cube | 117677814352064 |
| Square root | 221.368471 (= 2√12251) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9004 × |
49004 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and four |
| Binary (base 2) | 1011111101101100 |
| Octal (base 8) | 137554 |
| Hexadecimal (base 16) | BF6C |
| Base 3 | 2111012222 |
| As time | 49004 seconds = 13 h 36 min 44 s |
Is 49004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49004 ÷ 2 = 24502) | 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 (49004 ÷ 4 = 12251) | 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 4) | 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 4) | 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 10) | 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 49004 a prime number?
No. 49004 = × 12251, so it is divisible by 2.
What are the factors of 49004?
1, 2, 4, 12251, 24502, 49004.
What is 49004 in binary?
1011111101101100 (hexadecimal BF6C, octal 137554).
What is the square root of 49004?
About 221.3685, exactly 2√12251.
Is 49004 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 49004?
It is a composite number with 6 divisors.