The number 49441
49441 is a composite number with 6 divisors. Its prime factorisation is Ć 1009. Divisors (6): 1, 7, 49, 1009, 7063, 49441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49441: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49441 is composite. Its prime factorisation is
- 3
The divisors add up to 57570; without 49441 itself that is 8129, so 49441 is deficient (8129 is less than 49441). Euler's totient Ļ(49441) = 42336 numbers up to 49441 share no factor with it.
- 4
The digits of 49441 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49441 = 7^{2} \times 1009 \]49441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 57570 |
| Euler totient Ļ(n) | 42336 |
| Square | 2444412481 |
| Cube | 120854197473121 |
| Square root | 222.353322 (= 7ā1009) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.9441 Ć |
49441 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand four hundred and forty-one |
| Binary (base 2) | 1100000100100001 |
| Octal (base 8) | 140441 |
| Hexadecimal (base 16) | C121 |
| Base 3 | 2111211011 |
| As time | 49441 seconds = 13 h 44 min 1 s |
Is 49441 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49441 Ć· 7 = 7063) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49441 a prime number?
No. 49441 = Ć 1009, so it is divisible by 7.
What are the factors of 49441?
1, 7, 49, 1009, 7063, 49441.
What is 49441 in binary?
1100000100100001 (hexadecimal C121, octal 140441).
What is the square root of 49441?
About 222.3533, exactly 7ā1009.
Is 49441 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 49441?
49441 is a happy number: repeatedly adding the squares of its digits reaches 1.