The number 49404
49404 is a composite number with 24 divisors. Its prime factorisation is × 3 × 23 × 179. Divisors (24): 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 179, 276, 358, 537, 716 … 49404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49404: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49404 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 49404 itself that is 71556, so 49404 is abundant (71556 is more than 49404). Euler's totient φ(49404) = 15664 numbers up to 49404 share no factor with it.
- 4
The digits of 49404 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49404 = 2^{2} \times 3 \times 23 \times 179 \]49404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 15664 |
| Square | 2440755216 |
| Cube | 120583070691264 |
| Square root | 222.270106 (= 2√12351) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.9404 × |
49404 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand four hundred and four |
| Binary (base 2) | 1100000011111100 |
| Octal (base 8) | 140374 |
| Hexadecimal (base 16) | C0FC |
| Base 3 | 2111202210 |
| As time | 49404 seconds = 13 h 43 min 24 s |
Is 49404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49404 ÷ 2 = 24702) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49404 ÷ 3 = 16468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49404 ÷ 4 = 12351) | 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 (49404 ÷ 6 = 8234) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49404 ÷ 12 = 4117) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49404 a prime number?
No. 49404 = × 3 × 23 × 179, so it is divisible by 2.
What are the factors of 49404?
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 179, 276, 358, 537, 716, 1074, 2148, 4117, 8234, 12351, 16468, 24702, 49404.
What is 49404 in binary?
1100000011111100 (hexadecimal C0FC, octal 140374).
What is the square root of 49404?
About 222.2701, exactly 2√12351.
Is 49404 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 49404?
49404 is a happy number: repeatedly adding the squares of its digits reaches 1.