The number 67098
67098 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 53 × 211. Divisors (16): 1, 2, 3, 6, 53, 106, 159, 211, 318, 422, 633, 1266, 11183, 22366, 33549, 67098.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67098: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67098 is composite. Its prime factorisation is
- 3
The divisors add up to 137376; without 67098 itself that is 70278, so 67098 is abundant (70278 is more than 67098). Euler's totient φ(67098) = 21840 numbers up to 67098 share no factor with it.
- 4
The digits of 67098 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67098 = 2 \times 3 \times 53 \times 211 \]
67098 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 137376 |
| Euler totient φ(n) | 21840 |
| Square | 4502141604 |
| Cube | 302084697345192 |
| Square root | 259.032816 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7098 × |
67098 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and ninety-eight |
| Binary (base 2) | 10000011000011010 |
| Octal (base 8) | 203032 |
| Hexadecimal (base 16) | 1061A |
| Base 3 | 10102001010 |
| As time | 67098 seconds = 18 h 38 min 18 s |
Is 67098 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67098 ÷ 2 = 33549) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67098 ÷ 3 = 22366) | 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 (67098 ÷ 6 = 11183) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 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 67098 a prime number?
No. 67098 = 2 × 3 × 53 × 211, so it is divisible by 2.
What are the factors of 67098?
1, 2, 3, 6, 53, 106, 159, 211, 318, 422, 633, 1266, 11183, 22366, 33549, 67098.
What is 67098 in binary?
10000011000011010 (hexadecimal 1061A, octal 203032).
What is the square root of 67098?
About 259.0328.
Is 67098 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 67098?
67098 is a happy number: repeatedly adding the squares of its digits reaches 1.