The number 430
430 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 43. Divisors (8): 1, 2, 5, 10, 43, 86, 215, 430.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
430 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
430 is composite. Its prime factorisation is
- 3
The divisors add up to 792; without 430 itself that is 362, so 430 is deficient (362 is less than 430). Euler's totient φ(430) = 168 numbers up to 430 share no factor with it.
- 4
The digits of 430 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 430 = 2 \times 5 \times 43 \]
430 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 792 |
| Euler totient φ(n) | 168 |
| Square | 184900 |
| Cube | 79507000 |
| Square root | 20.736441 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 102 |
| Scientific notation | 4.3 × |
430 in other forms
| Form | Value |
|---|---|
| In words | four hundred and thirty |
| Roman numerals | CDXXX |
| Binary (base 2) | 110101110 |
| Octal (base 8) | 656 |
| Hexadecimal (base 16) | 1AE |
| Base 3 | 120221 |
| As time | 430 seconds = 7 min 10 s |
Is 430 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (430 ÷ 2 = 215) | 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 | Yes (430 ÷ 5 = 86) | 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 | No (remainder 3) | 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 | Yes (430 ÷ 10 = 43) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 430 a prime number?
No. 430 = 2 × 5 × 43, so it is divisible by 2.
What are the factors of 430?
1, 2, 5, 10, 43, 86, 215, 430.
What is 430 in binary?
110101110 (hexadecimal 1AE, octal 656).
What is the square root of 430?
About 20.7364.
What is 430 in Roman numerals?
CDXXX.
Is 430 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 430?
It is a composite number with 8 divisors.