The number 474
474 is a palindrome: it reads 474 backwards too. Its prime factorisation is 2 × 3 × 79. Divisors (8): 1, 2, 3, 6, 79, 158, 237, 474.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 474: a palindrome: it reads 474 backwards too.
- 2
474 is composite. Its prime factorisation is
- 3
The divisors add up to 960; without 474 itself that is 486, so 474 is abundant (486 is more than 474). Euler's totient φ(474) = 156 numbers up to 474 share no factor with it.
- 4
The digits of 474 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 474 = 2 \times 3 \times 79 \]
474 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 960 |
| Euler totient φ(n) | 156 |
| Square | 224676 |
| Cube | 106496424 |
| Square root | 21.771541 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 35 |
| Scientific notation | 4.74 × |
474 in other forms
| Form | Value |
|---|---|
| In words | four hundred and seventy-four |
| Roman numerals | CDLXXIV |
| Binary (base 2) | 111011010 |
| Octal (base 8) | 732 |
| Hexadecimal (base 16) | 1DA |
| Base 3 | 122120 |
| As time | 474 seconds = 7 min 54 s |
Is 474 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (474 ÷ 2 = 237) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (474 ÷ 3 = 158) | 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 | Yes (474 ÷ 6 = 79) | 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 6) | 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 1) | 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 474 a prime number?
No. 474 = 2 × 3 × 79, so it is divisible by 2.
What are the factors of 474?
1, 2, 3, 6, 79, 158, 237, 474.
What is 474 in binary?
111011010 (hexadecimal 1DA, octal 732).
What is the square root of 474?
About 21.7715.
What is 474 in Roman numerals?
CDLXXIV.
Is 474 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 474?
474 is a palindrome: it reads 474 backwards too.