The number 1442
1442 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 103. Divisors (8): 1, 2, 7, 14, 103, 206, 721, 1442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1442 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1442 is composite. Its prime factorisation is
- 3
The divisors add up to 2496; without 1442 itself that is 1054, so 1442 is deficient (1054 is less than 1442). Euler's totient φ(1442) = 612 numbers up to 1442 share no factor with it.
- 4
The digits of 1442 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1442 = 2 \times 7 \times 103 \]
1442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2496 |
| Euler totient φ(n) | 612 |
| Square | 2079364 |
| Cube | 2998442888 |
| Square root | 37.973675 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 47 |
| Scientific notation | 1.442 × |
1442 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and forty-two |
| Roman numerals | MCDXLII |
| Binary (base 2) | 10110100010 |
| Octal (base 8) | 2642 |
| Hexadecimal (base 16) | 5A2 |
| Base 3 | 1222102 |
| As time | 1442 seconds = 24 min 2 s |
Is 1442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1442 ÷ 2 = 721) | 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 | No (remainder 2) | 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 | Yes (1442 ÷ 7 = 206) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1442 a prime number?
No. 1442 = 2 × 7 × 103, so it is divisible by 2.
What are the factors of 1442?
1, 2, 7, 14, 103, 206, 721, 1442.
What is 1442 in binary?
10110100010 (hexadecimal 5A2, octal 2642).
What is the square root of 1442?
About 37.9737.
What is 1442 in Roman numerals?
MCDXLII.
Is 1442 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1442?
It is a composite number with 8 divisors.