The number 61748
61748 is a composite number with 12 divisors. Its prime factorisation is × 43 × 359. Divisors (12): 1, 2, 4, 43, 86, 172, 359, 718, 1436, 15437, 30874, 61748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61748 is composite. Its prime factorisation is
- 3
The divisors add up to 110880; without 61748 itself that is 49132, so 61748 is deficient (49132 is less than 61748). Euler's totient φ(61748) = 30072 numbers up to 61748 share no factor with it.
- 4
The digits of 61748 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61748 = 2^{2} \times 43 \times 359 \]61748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 110880 |
| Euler totient φ(n) | 30072 |
| Square | 3812815504 |
| Cube | 235433731740992 |
| Square root | 248.491449 (= 2√15437) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1748 × |
61748 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand seven hundred and forty-eight |
| Binary (base 2) | 1111000100110100 |
| Octal (base 8) | 170464 |
| Hexadecimal (base 16) | F134 |
| Base 3 | 10010200222 |
| As time | 61748 seconds = 17 h 9 min 8 s |
Is 61748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61748 ÷ 2 = 30874) | 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 (61748 ÷ 4 = 15437) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 61748 a prime number?
No. 61748 = × 43 × 359, so it is divisible by 2.
What are the factors of 61748?
1, 2, 4, 43, 86, 172, 359, 718, 1436, 15437, 30874, 61748.
What is 61748 in binary?
1111000100110100 (hexadecimal F134, octal 170464).
What is the square root of 61748?
About 248.4914, exactly 2√15437.
Is 61748 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 61748?
It is a composite number with 12 divisors.