The number 1430
1430 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 13. Divisors (16): 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1430 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1430 is composite. Its prime factorisation is
- 3
The divisors add up to 3024; without 1430 itself that is 1594, so 1430 is abundant (1594 is more than 1430). Euler's totient φ(1430) = 480 numbers up to 1430 share no factor with it.
- 4
The digits of 1430 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1430 = 2 \times 5 \times 11 \times 13 \]
1430 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 3024 |
| Euler totient φ(n) | 480 |
| Square | 2044900 |
| Cube | 2924207000 |
| Square root | 37.815341 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 26 |
| Scientific notation | 1.43 × |
1430 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and thirty |
| Roman numerals | MCDXXX |
| Binary (base 2) | 10110010110 |
| Octal (base 8) | 2626 |
| Hexadecimal (base 16) | 596 |
| Base 3 | 1221222 |
| As time | 1430 seconds = 23 min 50 s |
Is 1430 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1430 ÷ 2 = 715) | 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 (1430 ÷ 5 = 286) | 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 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 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1430 ÷ 10 = 143) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (1430 ÷ 11 = 130) | 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 1430 a prime number?
No. 1430 = 2 × 5 × 11 × 13, so it is divisible by 2.
What are the factors of 1430?
1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430.
What is 1430 in binary?
10110010110 (hexadecimal 596, octal 2626).
What is the square root of 1430?
About 37.8153.
What is 1430 in Roman numerals?
MCDXXX.
Is 1430 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 1430?
It is a composite number with 16 divisors.