The number 49945
49945 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 1427. Divisors (8): 1, 5, 7, 35, 1427, 7135, 9989, 49945.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49945: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49945 is composite. Its prime factorisation is
- 3
The divisors add up to 68544; without 49945 itself that is 18599, so 49945 is deficient (18599 is less than 49945). Euler's totient φ(49945) = 34224 numbers up to 49945 share no factor with it.
- 4
The digits of 49945 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 202 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49945 = 5 \times 7 \times 1427 \]
49945 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 68544 |
| Euler totient φ(n) | 34224 |
| Square | 2494503025 |
| Cube | 124587953583625 |
| Square root | 223.483780 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 202 |
| Scientific notation | 4.9945 × |
49945 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and forty-five |
| Binary (base 2) | 1100001100011001 |
| Octal (base 8) | 141431 |
| Hexadecimal (base 16) | C319 |
| Base 3 | 2112111211 |
| As time | 49945 seconds = 13 h 52 min 25 s |
Is 49945 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 | Yes (49945 ÷ 5 = 9989) | 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 (49945 ÷ 7 = 7135) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 49945 a prime number?
No. 49945 = 5 × 7 × 1427, so it is divisible by 5.
What are the factors of 49945?
1, 5, 7, 35, 1427, 7135, 9989, 49945.
What is 49945 in binary?
1100001100011001 (hexadecimal C319, octal 141431).
What is the square root of 49945?
About 223.4838.
Is 49945 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 49945?
49945 is a happy number: repeatedly adding the squares of its digits reaches 1.