The number 1493
1493 is the 238th prime number. Its only divisors are 1 and 1493.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1493: the 238th prime number.
- 2
1493 is prime, so its only factors are 1 and 1493. It is the 238th prime; the next prime is 1499 and the one before is 1489.
- 3
The divisors add up to 1494; without 1493 itself that is 1, so 1493 is deficient (1 is less than 1493). Euler's totient φ(1493) = 1492 numbers up to 1493 share no factor with it.
- 4
The digits of 1493 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.
1493 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1494 |
| Euler totient φ(n) | 1492 |
| Square | 2229049 |
| Cube | 3327970157 |
| Square root | 38.639358 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 21 |
| Scientific notation | 1.493 × |
1493 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and ninety-three |
| Roman numerals | MCDXCIII |
| Binary (base 2) | 10111010101 |
| Octal (base 8) | 2725 |
| Hexadecimal (base 16) | 5D5 |
| Base 3 | 2001022 |
| As time | 1493 seconds = 24 min 53 s |
Is 1493 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1493 a prime number?
Yes. 1493 is divisible only by 1 and itself.
What are the factors of 1493?
1, 1493.
What is 1493 in binary?
10111010101 (hexadecimal 5D5, octal 2725).
What is the square root of 1493?
About 38.6394.
What is 1493 in Roman numerals?
MCDXCIII.
Is 1493 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 1493?
1493 is the 238th prime number.