The number 61724
61724 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1187. Divisors (12): 1, 2, 4, 13, 26, 52, 1187, 2374, 4748, 15431, 30862, 61724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61724 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61724 is composite. Its prime factorisation is
- 3
The divisors add up to 116424; without 61724 itself that is 54700, so 61724 is deficient (54700 is less than 61724). Euler's totient φ(61724) = 28464 numbers up to 61724 share no factor with it.
- 4
The digits of 61724 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61724 = 2^{2} \times 13 \times 1187 \]61724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 116424 |
| Euler totient φ(n) | 28464 |
| Square | 3809852176 |
| Cube | 235159315711424 |
| Square root | 248.443152 (= 2√15431) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.1724 × |
61724 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand seven hundred and twenty-four |
| Binary (base 2) | 1111000100011100 |
| Octal (base 8) | 170434 |
| Hexadecimal (base 16) | F11C |
| Base 3 | 10010200002 |
| As time | 61724 seconds = 17 h 8 min 44 s |
Is 61724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61724 ÷ 2 = 30862) | 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 | Yes (61724 ÷ 4 = 15431) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61724 a prime number?
No. 61724 = × 13 × 1187, so it is divisible by 2.
What are the factors of 61724?
1, 2, 4, 13, 26, 52, 1187, 2374, 4748, 15431, 30862, 61724.
What is 61724 in binary?
1111000100011100 (hexadecimal F11C, octal 170434).
What is the square root of 61724?
About 248.4432, exactly 2√15431.
Is 61724 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 61724?
It is a composite number with 12 divisors.