The number 67446
67446 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1249. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1249, 2498, 3747, 7494, 11241, 22482, 33723, 67446.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67446: a Harshad number: divisible by its digit sum 27.
- 2
67446 is composite. Its prime factorisation is
- 3
The divisors add up to 150000; without 67446 itself that is 82554, so 67446 is abundant (82554 is more than 67446). Euler's totient φ(67446) = 22464 numbers up to 67446 share no factor with it.
- 4
The digits of 67446 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67446 = 2 \times 3^{3} \times 1249 \]67446 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 150000 |
| Euler totient φ(n) | 22464 |
| Square | 4548962916 |
| Cube | 306809352832536 |
| Square root | 259.703677 (= 3√7494) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7446 × |
67446 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and forty-six |
| Binary (base 2) | 10000011101110110 |
| Octal (base 8) | 203566 |
| Hexadecimal (base 16) | 10776 |
| Base 3 | 10102112000 |
| As time | 67446 seconds = 18 h 44 min 6 s |
Is 67446 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67446 ÷ 2 = 33723) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67446 ÷ 3 = 22482) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67446 ÷ 6 = 11241) | 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 (67446 ÷ 9 = 7494) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 67446 a prime number?
No. 67446 = 2 × × 1249, so it is divisible by 2.
What are the factors of 67446?
1, 2, 3, 6, 9, 18, 27, 54, 1249, 2498, 3747, 7494, 11241, 22482, 33723, 67446.
What is 67446 in binary?
10000011101110110 (hexadecimal 10776, octal 203566).
What is the square root of 67446?
About 259.7037, exactly 3√7494.
Is 67446 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67446?
67446 is a Harshad number: divisible by its digit sum 27.