The number 5742
5742 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 29. Divisors (24): 1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 174, 198 … 5742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5742: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
5742 is composite. Its prime factorisation is
- 3
The divisors add up to 14040; without 5742 itself that is 8298, so 5742 is abundant (8298 is more than 5742). Euler's totient φ(5742) = 1680 numbers up to 5742 share no factor with it.
- 4
The digits of 5742 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5742 = 2 \times 3^{2} \times 11 \times 29 \]5742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 14040 |
| Euler totient φ(n) | 1680 |
| Square | 32970564 |
| Cube | 189316978488 |
| Square root | 75.775986 (= 3√638) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 5.742 × |
5742 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and forty-two |
| Binary (base 2) | 1011001101110 |
| Octal (base 8) | 13156 |
| Hexadecimal (base 16) | 166E |
| Base 3 | 21212200 |
| As time | 5742 seconds = 1 h 35 min 42 s |
Is 5742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5742 ÷ 2 = 2871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5742 ÷ 3 = 1914) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5742 ÷ 6 = 957) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5742 ÷ 9 = 638) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (5742 ÷ 11 = 522) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5742 a prime number?
No. 5742 = 2 × × 11 × 29, so it is divisible by 2.
What are the factors of 5742?
1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 174, 198, 261, 319, 522, 638, 957, 1914, 2871, 5742.
What is 5742 in binary?
1011001101110 (hexadecimal 166E, octal 13156).
What is the square root of 5742?
About 75.7760, exactly 3√638.
Is 5742 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5742?
5742 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.