The number 61749
61749 is a composite number with 8 divisors. Its prime factorisation is × 2287. Divisors (8): 1, 3, 9, 27, 2287, 6861, 20583, 61749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61749: a Harshad number: divisible by its digit sum 27.
- 2
61749 is composite. Its prime factorisation is
- 3
The divisors add up to 91520; without 61749 itself that is 29771, so 61749 is deficient (29771 is less than 61749). Euler's totient φ(61749) = 41148 numbers up to 61749 share no factor with it.
- 4
The digits of 61749 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61749 = 3^{3} \times 2287 \]61749 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 91520 |
| Euler totient φ(n) | 41148 |
| Square | 3812939001 |
| Cube | 235445170372749 |
| Square root | 248.493461 (= 3√6861) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1749 × |
61749 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand seven hundred and forty-nine |
| Binary (base 2) | 1111000100110101 |
| Octal (base 8) | 170465 |
| Hexadecimal (base 16) | F135 |
| Base 3 | 10010201000 |
| As time | 61749 seconds = 17 h 9 min 9 s |
Is 61749 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 (61749 ÷ 3 = 20583) | 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 4) | 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 2) | 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 (61749 ÷ 9 = 6861) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61749 a prime number?
No. 61749 = × 2287, so it is divisible by 3.
What are the factors of 61749?
1, 3, 9, 27, 2287, 6861, 20583, 61749.
What is 61749 in binary?
1111000100110101 (hexadecimal F135, octal 170465).
What is the square root of 61749?
About 248.4935, exactly 3√6861.
Is 61749 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 61749?
61749 is a Harshad number: divisible by its digit sum 27.