The number 5745
5745 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 383. Divisors (8): 1, 3, 5, 15, 383, 1149, 1915, 5745.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5745 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5745 is composite. Its prime factorisation is
- 3
The divisors add up to 9216; without 5745 itself that is 3471, so 5745 is deficient (3471 is less than 5745). Euler's totient φ(5745) = 3056 numbers up to 5745 share no factor with it.
- 4
The digits of 5745 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5745 = 3 \times 5 \times 383 \]
5745 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9216 |
| Euler totient φ(n) | 3056 |
| Square | 33005025 |
| Cube | 189613868625 |
| Square root | 75.795778 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 36 |
| Scientific notation | 5.745 × |
5745 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and forty-five |
| Binary (base 2) | 1011001110001 |
| Octal (base 8) | 13161 |
| Hexadecimal (base 16) | 1671 |
| Base 3 | 21212210 |
| As time | 5745 seconds = 1 h 35 min 45 s |
Is 5745 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 (5745 ÷ 3 = 1915) | 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 | Yes (5745 ÷ 5 = 1149) | 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 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 1) | 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 5) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5745 a prime number?
No. 5745 = 3 × 5 × 383, so it is divisible by 3.
What are the factors of 5745?
1, 3, 5, 15, 383, 1149, 1915, 5745.
What is 5745 in binary?
1011001110001 (hexadecimal 1671, octal 13161).
What is the square root of 5745?
About 75.7958.
Is 5745 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5745?
It is a composite number with 8 divisors.