The number 67398
67398 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 47 × 239. Divisors (16): 1, 2, 3, 6, 47, 94, 141, 239, 282, 478, 717, 1434, 11233, 22466, 33699, 67398.
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How to work it out
- 1
What is special about 67398: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67398 is composite. Its prime factorisation is
- 3
The divisors add up to 138240; without 67398 itself that is 70842, so 67398 is abundant (70842 is more than 67398). Euler's totient φ(67398) = 21896 numbers up to 67398 share no factor with it.
- 4
The digits of 67398 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67398 = 2 \times 3 \times 47 \times 239 \]
67398 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 138240 |
| Euler totient φ(n) | 21896 |
| Square | 4542490404 |
| Cube | 306154768248792 |
| Square root | 259.611248 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.7398 × |
67398 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and ninety-eight |
| Binary (base 2) | 10000011101000110 |
| Octal (base 8) | 203506 |
| Hexadecimal (base 16) | 10746 |
| Base 3 | 10102110020 |
| As time | 67398 seconds = 18 h 43 min 18 s |
Is 67398 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67398 ÷ 2 = 33699) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67398 ÷ 3 = 22466) | 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 (67398 ÷ 6 = 11233) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 6) | 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 67398 a prime number?
No. 67398 = 2 × 3 × 47 × 239, so it is divisible by 2.
What are the factors of 67398?
1, 2, 3, 6, 47, 94, 141, 239, 282, 478, 717, 1434, 11233, 22466, 33699, 67398.
What is 67398 in binary?
10000011101000110 (hexadecimal 10746, octal 203506).
What is the square root of 67398?
About 259.6112.
Is 67398 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 67398?
67398 is a happy number: repeatedly adding the squares of its digits reaches 1.