The number 1497
1497 is a composite number with 4 divisors. Its prime factorisation is 3 × 499. Divisors (4): 1, 3, 499, 1497.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1497: a semiprime: 3 × 499, the product of two primes.
- 2
1497 is composite. Its prime factorisation is
- 3
The divisors add up to 2000; without 1497 itself that is 503, so 1497 is deficient (503 is less than 1497). Euler's totient φ(1497) = 996 numbers up to 1497 share no factor with it.
- 4
The digits of 1497 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1497 = 3 \times 499 \]
1497 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2000 |
| Euler totient φ(n) | 996 |
| Square | 2241009 |
| Cube | 3354790473 |
| Square root | 38.691084 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 1.497 × |
1497 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and ninety-seven |
| Roman numerals | MCDXCVII |
| Binary (base 2) | 10111011001 |
| Octal (base 8) | 2731 |
| Hexadecimal (base 16) | 5D9 |
| Base 3 | 2001110 |
| As time | 1497 seconds = 24 min 57 s |
Is 1497 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 | Yes (1497 ÷ 3 = 499) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1497 a prime number?
No. 1497 = 3 × 499, so it is divisible by 3.
What are the factors of 1497?
1, 3, 499, 1497.
What is 1497 in binary?
10111011001 (hexadecimal 5D9, octal 2731).
What is the square root of 1497?
About 38.6911.
What is 1497 in Roman numerals?
MCDXCVII.
Is 1497 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 1497?
1497 is a semiprime: 3 × 499, the product of two primes.