The number 13098
13098 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 37 × 59. Divisors (16): 1, 2, 3, 6, 37, 59, 74, 111, 118, 177, 222, 354, 2183, 4366, 6549, 13098.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13098 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13098 is composite. Its prime factorisation is
- 3
The divisors add up to 27360; without 13098 itself that is 14262, so 13098 is abundant (14262 is more than 13098). Euler's totient φ(13098) = 4176 numbers up to 13098 share no factor with it.
- 4
The digits of 13098 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13098 = 2 \times 3 \times 37 \times 59 \]
13098 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 27360 |
| Euler totient φ(n) | 4176 |
| Square | 171557604 |
| Cube | 2247061497192 |
| Square root | 114.446494 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3098 × |
13098 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and ninety-eight |
| Binary (base 2) | 11001100101010 |
| Octal (base 8) | 31452 |
| Hexadecimal (base 16) | 332A |
| Base 3 | 122222010 |
| As time | 13098 seconds = 3 h 38 min 18 s |
Is 13098 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13098 ÷ 2 = 6549) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13098 ÷ 3 = 4366) | 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 (13098 ÷ 6 = 2183) | 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 2) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 13098 a prime number?
No. 13098 = 2 × 3 × 37 × 59, so it is divisible by 2.
What are the factors of 13098?
1, 2, 3, 6, 37, 59, 74, 111, 118, 177, 222, 354, 2183, 4366, 6549, 13098.
What is 13098 in binary?
11001100101010 (hexadecimal 332A, octal 31452).
What is the square root of 13098?
About 114.4465.
Is 13098 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13098?
It is a composite number with 16 divisors.