The number 49617
49617 is a composite number with 12 divisors. Its prime factorisation is × 37 × 149. Divisors (12): 1, 3, 9, 37, 111, 149, 333, 447, 1341, 5513, 16539, 49617.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49617 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49617 is composite. Its prime factorisation is
- 3
The divisors add up to 74100; without 49617 itself that is 24483, so 49617 is deficient (24483 is less than 49617). Euler's totient φ(49617) = 31968 numbers up to 49617 share no factor with it.
- 4
The digits of 49617 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
\[ 49617 = 3^{2} \times 37 \times 149 \]49617 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 74100 |
| Euler totient φ(n) | 31968 |
| Square | 2461846689 |
| Cube | 122149447168113 |
| Square root | 222.748737 (= 3√5513) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.9617 × |
49617 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand six hundred and seventeen |
| Binary (base 2) | 1100000111010001 |
| Octal (base 8) | 140721 |
| Hexadecimal (base 16) | C1D1 |
| Base 3 | 2112001200 |
| As time | 49617 seconds = 13 h 46 min 57 s |
Is 49617 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 (49617 ÷ 3 = 16539) | 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 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49617 ÷ 9 = 5513) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49617 a prime number?
No. 49617 = × 37 × 149, so it is divisible by 3.
What are the factors of 49617?
1, 3, 9, 37, 111, 149, 333, 447, 1341, 5513, 16539, 49617.
What is 49617 in binary?
1100000111010001 (hexadecimal C1D1, octal 140721).
What is the square root of 49617?
About 222.7487, exactly 3√5513.
Is 49617 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49617?
It is a composite number with 12 divisors.