The number 61743
61743 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 1871. Divisors (8): 1, 3, 11, 33, 1871, 5613, 20581, 61743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61743 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61743 is composite. Its prime factorisation is
- 3
The divisors add up to 89856; without 61743 itself that is 28113, so 61743 is deficient (28113 is less than 61743). Euler's totient φ(61743) = 37400 numbers up to 61743 share no factor with it.
- 4
The digits of 61743 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61743 = 3 \times 11 \times 1871 \]
61743 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 89856 |
| Euler totient φ(n) | 37400 |
| Square | 3812198049 |
| Cube | 235376544139407 |
| Square root | 248.481388 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.1743 × |
61743 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand seven hundred and forty-three |
| Binary (base 2) | 1111000100101111 |
| Octal (base 8) | 170457 |
| Hexadecimal (base 16) | F12F |
| Base 3 | 10010200210 |
| As time | 61743 seconds = 17 h 9 min 3 s |
Is 61743 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 (61743 ÷ 3 = 20581) | 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 3) | 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 3) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (61743 ÷ 11 = 5613) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61743 a prime number?
No. 61743 = 3 × 11 × 1871, so it is divisible by 3.
What are the factors of 61743?
1, 3, 11, 33, 1871, 5613, 20581, 61743.
What is 61743 in binary?
1111000100101111 (hexadecimal F12F, octal 170457).
What is the square root of 61743?
About 248.4814.
Is 61743 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 61743?
It is a composite number with 8 divisors.