The number 49365
49365 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1097. Divisors (12): 1, 3, 5, 9, 15, 45, 1097, 3291, 5485, 9873, 16455, 49365.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49365: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49365 is composite. Its prime factorisation is
- 3
The divisors add up to 85644; without 49365 itself that is 36279, so 49365 is deficient (36279 is less than 49365). Euler's totient φ(49365) = 26304 numbers up to 49365 share no factor with it.
- 4
The digits of 49365 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49365 = 3^{2} \times 5 \times 1097 \]49365 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 85644 |
| Euler totient φ(n) | 26304 |
| Square | 2436903225 |
| Cube | 120297727702125 |
| Square root | 222.182358 (= 3√5485) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.9365 × |
49365 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand three hundred and sixty-five |
| Binary (base 2) | 1100000011010101 |
| Octal (base 8) | 140325 |
| Hexadecimal (base 16) | C0D5 |
| Base 3 | 2111201100 |
| As time | 49365 seconds = 13 h 42 min 45 s |
Is 49365 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 (49365 ÷ 3 = 16455) | 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 (49365 ÷ 5 = 9873) | 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 1) | 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 | Yes (49365 ÷ 9 = 5485) | 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 8) | 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 49365 a prime number?
No. 49365 = × 5 × 1097, so it is divisible by 3.
What are the factors of 49365?
1, 3, 5, 9, 15, 45, 1097, 3291, 5485, 9873, 16455, 49365.
What is 49365 in binary?
1100000011010101 (hexadecimal C0D5, octal 140325).
What is the square root of 49365?
About 222.1824, exactly 3√5485.
Is 49365 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49365?
49365 is a happy number: repeatedly adding the squares of its digits reaches 1.