The number 61744
61744 is a composite number with 20 divisors. Its prime factorisation is × 17 × 227. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 136, 227, 272, 454, 908, 1816, 3632, 3859 … 61744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61744 is composite. Its prime factorisation is
- 3
The divisors add up to 127224; without 61744 itself that is 65480, so 61744 is abundant (65480 is more than 61744). Euler's totient φ(61744) = 28928 numbers up to 61744 share no factor with it.
- 4
The digits of 61744 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61744 = 2^{4} \times 17 \times 227 \]61744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 127224 |
| Euler totient φ(n) | 28928 |
| Square | 3812321536 |
| Cube | 235387980918784 |
| Square root | 248.483400 (= 4√3859) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1744 × |
61744 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand seven hundred and forty-four |
| Binary (base 2) | 1111000100110000 |
| Octal (base 8) | 170460 |
| Hexadecimal (base 16) | F130 |
| Base 3 | 10010200211 |
| As time | 61744 seconds = 17 h 9 min 4 s |
Is 61744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61744 ÷ 2 = 30872) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61744 ÷ 4 = 15436) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (61744 ÷ 8 = 7718) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61744 a prime number?
No. 61744 = × 17 × 227, so it is divisible by 2.
What are the factors of 61744?
1, 2, 4, 8, 16, 17, 34, 68, 136, 227, 272, 454, 908, 1816, 3632, 3859, 7718, 15436, 30872, 61744.
What is 61744 in binary?
1111000100110000 (hexadecimal F130, octal 170460).
What is the square root of 61744?
About 248.4834, exactly 4√3859.
Is 61744 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 61744?
It is a composite number with 20 divisors.