The number 31098
31098 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 71 × 73. Divisors (16): 1, 2, 3, 6, 71, 73, 142, 146, 213, 219, 426, 438, 5183, 10366, 15549, 31098.
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How to work it out
- 1
31098 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31098 is composite. Its prime factorisation is
- 3
The divisors add up to 63936; without 31098 itself that is 32838, so 31098 is abundant (32838 is more than 31098). Euler's totient φ(31098) = 10080 numbers up to 31098 share no factor with it.
- 4
The digits of 31098 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31098 = 2 \times 3 \times 71 \times 73 \]
31098 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 63936 |
| Euler totient φ(n) | 10080 |
| Square | 967085604 |
| Cube | 30074428113192 |
| Square root | 176.346250 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1098 × |
31098 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and ninety-eight |
| Binary (base 2) | 111100101111010 |
| Octal (base 8) | 74572 |
| Hexadecimal (base 16) | 797A |
| Base 3 | 1120122210 |
| As time | 31098 seconds = 8 h 38 min 18 s |
Is 31098 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31098 ÷ 2 = 15549) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31098 ÷ 3 = 10366) | 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 (31098 ÷ 6 = 5183) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | 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 31098 a prime number?
No. 31098 = 2 × 3 × 71 × 73, so it is divisible by 2.
What are the factors of 31098?
1, 2, 3, 6, 71, 73, 142, 146, 213, 219, 426, 438, 5183, 10366, 15549, 31098.
What is 31098 in binary?
111100101111010 (hexadecimal 797A, octal 74572).
What is the square root of 31098?
About 176.3463.
Is 31098 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 31098?
It is a composite number with 16 divisors.