The number 49965
49965 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 3331. Divisors (8): 1, 3, 5, 15, 3331, 9993, 16655, 49965.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49965: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49965 is composite. Its prime factorisation is
- 3
The divisors add up to 79968; without 49965 itself that is 30003, so 49965 is deficient (30003 is less than 49965). Euler's totient φ(49965) = 26640 numbers up to 49965 share no factor with it.
- 4
The digits of 49965 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49965 = 3 \times 5 \times 3331 \]
49965 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 79968 |
| Euler totient φ(n) | 26640 |
| Square | 2496501225 |
| Cube | 124737683707125 |
| Square root | 223.528522 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9965 × |
49965 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and sixty-five |
| Binary (base 2) | 1100001100101101 |
| Octal (base 8) | 141455 |
| Hexadecimal (base 16) | C32D |
| Base 3 | 2112112120 |
| As time | 49965 seconds = 13 h 52 min 45 s |
Is 49965 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 | Yes (49965 ÷ 3 = 16655) | 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 (49965 ÷ 5 = 9993) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49965 a prime number?
No. 49965 = 3 × 5 × 3331, so it is divisible by 3.
What are the factors of 49965?
1, 3, 5, 15, 3331, 9993, 16655, 49965.
What is 49965 in binary?
1100001100101101 (hexadecimal C32D, octal 141455).
What is the square root of 49965?
About 223.5285.
Is 49965 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 49965?
49965 is a happy number: repeatedly adding the squares of its digits reaches 1.