The number 897
897 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 23. Divisors (8): 1, 3, 13, 23, 39, 69, 299, 897.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
897 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
897 is composite. Its prime factorisation is
- 3
The divisors add up to 1344; without 897 itself that is 447, so 897 is deficient (447 is less than 897). Euler's totient φ(897) = 528 numbers up to 897 share no factor with it.
- 4
The digits of 897 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 897 = 3 \times 13 \times 23 \]
897 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1344 |
| Euler totient φ(n) | 528 |
| Square | 804609 |
| Cube | 721734273 |
| Square root | 29.949958 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 67 |
| Scientific notation | 8.97 × |
897 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and ninety-seven |
| Roman numerals | DCCCXCVII |
| Binary (base 2) | 1110000001 |
| Octal (base 8) | 1601 |
| Hexadecimal (base 16) | 381 |
| Base 3 | 1020020 |
| As time | 897 seconds = 14 min 57 s |
Is 897 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 (897 ÷ 3 = 299) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | 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 897 a prime number?
No. 897 = 3 × 13 × 23, so it is divisible by 3.
What are the factors of 897?
1, 3, 13, 23, 39, 69, 299, 897.
What is 897 in binary?
1110000001 (hexadecimal 381, octal 1601).
What is the square root of 897?
About 29.9500.
What is 897 in Roman numerals?
DCCCXCVII.
Is 897 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 897?
It is a composite number with 8 divisors.