The number 1492
1492 is a composite number with 6 divisors. Its prime factorisation is × 373. Divisors (6): 1, 2, 4, 373, 746, 1492.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1492 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1492 is composite. Its prime factorisation is
- 3
The divisors add up to 2618; without 1492 itself that is 1126, so 1492 is deficient (1126 is less than 1492). Euler's totient φ(1492) = 744 numbers up to 1492 share no factor with it.
- 4
The digits of 1492 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1492 = 2^{2} \times 373 \]1492 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 2618 |
| Euler totient φ(n) | 744 |
| Square | 2226064 |
| Cube | 3321287488 |
| Square root | 38.626416 (= 2√373) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 21 |
| Scientific notation | 1.492 × |
1492 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and ninety-two |
| Roman numerals | MCDXCII |
| Binary (base 2) | 10111010100 |
| Octal (base 8) | 2724 |
| Hexadecimal (base 16) | 5D4 |
| Base 3 | 2001021 |
| As time | 1492 seconds = 24 min 52 s |
Is 1492 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1492 ÷ 2 = 746) | 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 | Yes (1492 ÷ 4 = 373) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1492 a prime number?
No. 1492 = × 373, so it is divisible by 2.
What are the factors of 1492?
1, 2, 4, 373, 746, 1492.
What is 1492 in binary?
10111010100 (hexadecimal 5D4, octal 2724).
What is the square root of 1492?
About 38.6264, exactly 2√373.
What is 1492 in Roman numerals?
MCDXCII.
Is 1492 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1492?
It is a composite number with 6 divisors.