The number 898
898 is a palindrome: it reads 898 backwards too. Its prime factorisation is 2 × 449. Divisors (4): 1, 2, 449, 898.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 898: a palindrome: it reads 898 backwards too; a semiprime: 2 × 449, the product of two primes.
- 2
898 is composite. Its prime factorisation is
- 3
The divisors add up to 1350; without 898 itself that is 452, so 898 is deficient (452 is less than 898). Euler's totient φ(898) = 448 numbers up to 898 share no factor with it.
- 4
The digits of 898 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 898 = 2 \times 449 \]
898 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1350 |
| Euler totient φ(n) | 448 |
| Square | 806404 |
| Cube | 724150792 |
| Square root | 29.966648 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 116 |
| Scientific notation | 8.98 × |
898 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and ninety-eight |
| Roman numerals | DCCCXCVIII |
| Binary (base 2) | 1110000010 |
| Octal (base 8) | 1602 |
| Hexadecimal (base 16) | 382 |
| Base 3 | 1020021 |
| As time | 898 seconds = 14 min 58 s |
Is 898 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (898 ÷ 2 = 449) | 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 | No (remainder 2) | 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 4) | 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 2) | 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 8) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 898 a prime number?
No. 898 = 2 × 449, so it is divisible by 2.
What are the factors of 898?
1, 2, 449, 898.
What is 898 in binary?
1110000010 (hexadecimal 382, octal 1602).
What is the square root of 898?
About 29.9666.
What is 898 in Roman numerals?
DCCCXCVIII.
Is 898 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 898?
898 is a palindrome: it reads 898 backwards too; a semiprime: 2 × 449, the product of two primes.