The number 1098
1098 is a composite number with 12 divisors. Its prime factorisation is 2 × × 61. Divisors (12): 1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1098: a Harshad number: divisible by its digit sum 18.
- 2
1098 is composite. Its prime factorisation is
- 3
The divisors add up to 2418; without 1098 itself that is 1320, so 1098 is abundant (1320 is more than 1098). Euler's totient φ(1098) = 360 numbers up to 1098 share no factor with it.
- 4
The digits of 1098 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 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1098 = 2 \times 3^{2} \times 61 \]1098 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2418 |
| Euler totient φ(n) | 360 |
| Square | 1205604 |
| Cube | 1323753192 |
| Square root | 33.136083 (= 3√122) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 1.098 × |
1098 in other forms
| Form | Value |
|---|---|
| In words | one thousand and ninety-eight |
| Roman numerals | MXCVIII |
| Binary (base 2) | 10001001010 |
| Octal (base 8) | 2112 |
| Hexadecimal (base 16) | 44A |
| Base 3 | 1111200 |
| As time | 1098 seconds = 18 min 18 s |
Is 1098 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1098 ÷ 2 = 549) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1098 ÷ 3 = 366) | 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 | Yes (1098 ÷ 6 = 183) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (1098 ÷ 9 = 122) | 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 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 1098 a prime number?
No. 1098 = 2 × × 61, so it is divisible by 2.
What are the factors of 1098?
1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098.
What is 1098 in binary?
10001001010 (hexadecimal 44A, octal 2112).
What is the square root of 1098?
About 33.1361, exactly 3√122.
What is 1098 in Roman numerals?
MXCVIII.
Is 1098 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 1098?
1098 is a Harshad number: divisible by its digit sum 18.