The number 470
470 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 47. Divisors (8): 1, 2, 5, 10, 47, 94, 235, 470.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
470 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
470 is composite. Its prime factorisation is
- 3
The divisors add up to 864; without 470 itself that is 394, so 470 is deficient (394 is less than 470). Euler's totient φ(470) = 184 numbers up to 470 share no factor with it.
- 4
The digits of 470 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 470 = 2 \times 5 \times 47 \]
470 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 864 |
| Euler totient φ(n) | 184 |
| Square | 220900 |
| Cube | 103823000 |
| Square root | 21.679483 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 128 |
| Scientific notation | 4.7 × |
470 in other forms
| Form | Value |
|---|---|
| In words | four hundred and seventy |
| Roman numerals | CDLXX |
| Binary (base 2) | 111010110 |
| Octal (base 8) | 726 |
| Hexadecimal (base 16) | 1D6 |
| Base 3 | 122102 |
| As time | 470 seconds = 7 min 50 s |
Is 470 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (470 ÷ 2 = 235) | 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 | Yes (470 ÷ 5 = 94) | 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 1) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (470 ÷ 10 = 47) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 470 a prime number?
No. 470 = 2 × 5 × 47, so it is divisible by 2.
What are the factors of 470?
1, 2, 5, 10, 47, 94, 235, 470.
What is 470 in binary?
111010110 (hexadecimal 1D6, octal 726).
What is the square root of 470?
About 21.6795.
What is 470 in Roman numerals?
CDLXX.
Is 470 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 470?
It is a composite number with 8 divisors.