The number 61727
61727 is a composite number with 4 divisors. Its prime factorisation is 17 × 3631. Divisors (4): 1, 17, 3631, 61727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61727: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 3631, the product of two primes.
- 2
61727 is composite. Its prime factorisation is
- 3
The divisors add up to 65376; without 61727 itself that is 3649, so 61727 is deficient (3649 is less than 61727). Euler's totient φ(61727) = 58080 numbers up to 61727 share no factor with it.
- 4
The digits of 61727 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61727 = 17 \times 3631 \]
61727 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 65376 |
| Euler totient φ(n) | 58080 |
| Square | 3810222529 |
| Cube | 235193606047583 |
| Square root | 248.449190 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 140 |
| Scientific notation | 6.1727 × |
61727 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand seven hundred and twenty-seven |
| Binary (base 2) | 1111000100011111 |
| Octal (base 8) | 170437 |
| Hexadecimal (base 16) | F11F |
| Base 3 | 10010200012 |
| As time | 61727 seconds = 17 h 8 min 47 s |
Is 61727 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61727 a prime number?
No. 61727 = 17 × 3631, so it is divisible by 17.
What are the factors of 61727?
1, 17, 3631, 61727.
What is 61727 in binary?
1111000100011111 (hexadecimal F11F, octal 170437).
What is the square root of 61727?
About 248.4492.
Is 61727 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 61727?
61727 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 3631, the product of two primes.