The number 1412
1412 is a composite number with 6 divisors. Its prime factorisation is × 353. Divisors (6): 1, 2, 4, 353, 706, 1412.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1412 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1412 is composite. Its prime factorisation is
- 3
The divisors add up to 2478; without 1412 itself that is 1066, so 1412 is deficient (1066 is less than 1412). Euler's totient φ(1412) = 704 numbers up to 1412 share no factor with it.
- 4
The digits of 1412 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1412 = 2^{2} \times 353 \]1412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 2478 |
| Euler totient φ(n) | 704 |
| Square | 1993744 |
| Cube | 2815166528 |
| Square root | 37.576588 (= 2√353) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 127 |
| Scientific notation | 1.412 × |
1412 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and twelve |
| Roman numerals | MCDXII |
| Binary (base 2) | 10110000100 |
| Octal (base 8) | 2604 |
| Hexadecimal (base 16) | 584 |
| Base 3 | 1221022 |
| As time | 1412 seconds = 23 min 32 s |
Is 1412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1412 ÷ 2 = 706) | 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 (1412 ÷ 4 = 353) | 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 | No (remainder 5) | 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 4) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 1412 a prime number?
No. 1412 = × 353, so it is divisible by 2.
What are the factors of 1412?
1, 2, 4, 353, 706, 1412.
What is 1412 in binary?
10110000100 (hexadecimal 584, octal 2604).
What is the square root of 1412?
About 37.5766, exactly 2√353.
What is 1412 in Roman numerals?
MCDXII.
Is 1412 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 1412?
It is a composite number with 6 divisors.