The number 1494
1494 is a composite number with 12 divisors. Its prime factorisation is 2 × × 83. Divisors (12): 1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1494: a Harshad number: divisible by its digit sum 18.
- 2
1494 is composite. Its prime factorisation is
- 3
The divisors add up to 3276; without 1494 itself that is 1782, so 1494 is abundant (1782 is more than 1494). Euler's totient φ(1494) = 492 numbers up to 1494 share no factor with it.
- 4
The digits of 1494 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1494 = 2 \times 3^{2} \times 83 \]1494 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 3276 |
| Euler totient φ(n) | 492 |
| Square | 2232036 |
| Cube | 3334661784 |
| Square root | 38.652296 (= 3√166) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 47 |
| Scientific notation | 1.494 × |
1494 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and ninety-four |
| Roman numerals | MCDXCIV |
| Binary (base 2) | 10111010110 |
| Octal (base 8) | 2726 |
| Hexadecimal (base 16) | 5D6 |
| Base 3 | 2001100 |
| As time | 1494 seconds = 24 min 54 s |
Is 1494 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1494 ÷ 2 = 747) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1494 ÷ 3 = 498) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1494 ÷ 6 = 249) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (1494 ÷ 9 = 166) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1494 a prime number?
No. 1494 = 2 × × 83, so it is divisible by 2.
What are the factors of 1494?
1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494.
What is 1494 in binary?
10111010110 (hexadecimal 5D6, octal 2726).
What is the square root of 1494?
About 38.6523, exactly 3√166.
What is 1494 in Roman numerals?
MCDXCIV.
Is 1494 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 1494?
1494 is a Harshad number: divisible by its digit sum 18.