The number 10998
10998 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 47. Divisors (24): 1, 2, 3, 6, 9, 13, 18, 26, 39, 47, 78, 94, 117, 141, 234, 282 … 10998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10998 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10998 is composite. Its prime factorisation is
- 3
The divisors add up to 26208; without 10998 itself that is 15210, so 10998 is abundant (15210 is more than 10998). Euler's totient φ(10998) = 3312 numbers up to 10998 share no factor with it.
- 4
The digits of 10998 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10998 = 2 \times 3^{2} \times 13 \times 47 \]10998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 26208 |
| Euler totient φ(n) | 3312 |
| Square | 120956004 |
| Cube | 1330274131992 |
| Square root | 104.871350 (= 3√1222) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.0998 × |
10998 in other forms
| Form | Value |
|---|---|
| In words | ten thousand nine hundred and ninety-eight |
| Binary (base 2) | 10101011110110 |
| Octal (base 8) | 25366 |
| Hexadecimal (base 16) | 2AF6 |
| Base 3 | 120002100 |
| As time | 10998 seconds = 3 h 3 min 18 s |
Is 10998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10998 ÷ 2 = 5499) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10998 ÷ 3 = 3666) | 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 (10998 ÷ 6 = 1833) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (10998 ÷ 9 = 1222) | 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 10998 a prime number?
No. 10998 = 2 × × 13 × 47, so it is divisible by 2.
What are the factors of 10998?
1, 2, 3, 6, 9, 13, 18, 26, 39, 47, 78, 94, 117, 141, 234, 282, 423, 611, 846, 1222, 1833, 3666, 5499, 10998.
What is 10998 in binary?
10101011110110 (hexadecimal 2AF6, octal 25366).
What is the square root of 10998?
About 104.8713, exactly 3√1222.
Is 10998 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 10998?
It is a composite number with 24 divisors.