The number 1424
1424 is a composite number with 10 divisors. Its prime factorisation is × 89. Divisors (10): 1, 2, 4, 8, 16, 89, 178, 356, 712, 1424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1424 is composite. Its prime factorisation is
- 3
The divisors add up to 2790; without 1424 itself that is 1366, so 1424 is deficient (1366 is less than 1424). Euler's totient φ(1424) = 704 numbers up to 1424 share no factor with it.
- 4
The digits of 1424 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1424 = 2^{4} \times 89 \]1424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 2790 |
| Euler totient φ(n) | 704 |
| Square | 2027776 |
| Cube | 2887553024 |
| Square root | 37.735925 (= 4√89) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 34 |
| Scientific notation | 1.424 × |
1424 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and twenty-four |
| Roman numerals | MCDXXIV |
| Binary (base 2) | 10110010000 |
| Octal (base 8) | 2620 |
| Hexadecimal (base 16) | 590 |
| Base 3 | 1221202 |
| As time | 1424 seconds = 23 min 44 s |
Is 1424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1424 ÷ 2 = 712) | 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 | Yes (1424 ÷ 4 = 356) | 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 2) | 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 | Yes (1424 ÷ 8 = 178) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1424 a prime number?
No. 1424 = × 89, so it is divisible by 2.
What are the factors of 1424?
1, 2, 4, 8, 16, 89, 178, 356, 712, 1424.
What is 1424 in binary?
10110010000 (hexadecimal 590, octal 2620).
What is the square root of 1424?
About 37.7359, exactly 4√89.
What is 1424 in Roman numerals?
MCDXXIV.
Is 1424 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1424?
It is a composite number with 10 divisors.