The number 574
574 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 41. Divisors (8): 1, 2, 7, 14, 41, 82, 287, 574.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
574 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
574 is composite. Its prime factorisation is
- 3
The divisors add up to 1008; without 574 itself that is 434, so 574 is deficient (434 is less than 574). Euler's totient φ(574) = 240 numbers up to 574 share no factor with it.
- 4
The digits of 574 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 574 = 2 \times 7 \times 41 \]
574 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1008 |
| Euler totient φ(n) | 240 |
| Square | 329476 |
| Cube | 189119224 |
| Square root | 23.958297 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 43 |
| Scientific notation | 5.74 × |
574 in other forms
| Form | Value |
|---|---|
| In words | five hundred and seventy-four |
| Roman numerals | DLXXIV |
| Binary (base 2) | 1000111110 |
| Octal (base 8) | 1076 |
| Hexadecimal (base 16) | 23E |
| Base 3 | 210021 |
| As time | 574 seconds = 9 min 34 s |
Is 574 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (574 ÷ 2 = 287) | 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 | No (remainder 2) | 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 | Yes (574 ÷ 7 = 82) | 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 | No (remainder 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 574 a prime number?
No. 574 = 2 × 7 × 41, so it is divisible by 2.
What are the factors of 574?
1, 2, 7, 14, 41, 82, 287, 574.
What is 574 in binary?
1000111110 (hexadecimal 23E, octal 1076).
What is the square root of 574?
About 23.9583.
What is 574 in Roman numerals?
DLXXIV.
Is 574 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 574?
It is a composite number with 8 divisors.