The number 5738
5738 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 151. Divisors (8): 1, 2, 19, 38, 151, 302, 2869, 5738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5738 is composite. Its prime factorisation is
- 3
The divisors add up to 9120; without 5738 itself that is 3382, so 5738 is deficient (3382 is less than 5738). Euler's totient φ(5738) = 2700 numbers up to 5738 share no factor with it.
- 4
The digits of 5738 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5738 = 2 \times 19 \times 151 \]
5738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9120 |
| Euler totient φ(n) | 2700 |
| Square | 32924644 |
| Cube | 188921607272 |
| Square root | 75.749587 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 36 |
| Scientific notation | 5.738 × |
5738 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and thirty-eight |
| Binary (base 2) | 1011001101010 |
| Octal (base 8) | 13152 |
| Hexadecimal (base 16) | 166A |
| Base 3 | 21212112 |
| As time | 5738 seconds = 1 h 35 min 38 s |
Is 5738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5738 ÷ 2 = 2869) | 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 | No (remainder 2) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5738 a prime number?
No. 5738 = 2 × 19 × 151, so it is divisible by 2.
What are the factors of 5738?
1, 2, 19, 38, 151, 302, 2869, 5738.
What is 5738 in binary?
1011001101010 (hexadecimal 166A, octal 13152).
What is the square root of 5738?
About 75.7496.
Is 5738 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 5738?
It is a composite number with 8 divisors.