The number 67350
67350 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 449. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 449, 898, 1347, 2245 … 67350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67350 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67350 is composite. Its prime factorisation is
- 3
The divisors add up to 167400; without 67350 itself that is 100050, so 67350 is abundant (100050 is more than 67350). Euler's totient φ(67350) = 17920 numbers up to 67350 share no factor with it.
- 4
The digits of 67350 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 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67350 = 2 \times 3 \times 5^{2} \times 449 \]67350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 167400 |
| Euler totient φ(n) | 17920 |
| Square | 4536022500 |
| Cube | 305501115375000 |
| Square root | 259.518785 (= 5√2694) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.735 × |
67350 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and fifty |
| Binary (base 2) | 10000011100010110 |
| Octal (base 8) | 203426 |
| Hexadecimal (base 16) | 10716 |
| Base 3 | 10102101110 |
| As time | 67350 seconds = 18 h 42 min 30 s |
Is 67350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67350 ÷ 2 = 33675) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67350 ÷ 3 = 22450) | 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 | Yes (67350 ÷ 5 = 13470) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67350 ÷ 6 = 11225) | 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 6) | 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 | Yes (67350 ÷ 10 = 6735) | 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 67350 a prime number?
No. 67350 = 2 × 3 × × 449, so it is divisible by 2.
What are the factors of 67350?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 449, 898, 1347, 2245, 2694, 4490, 6735, 11225, 13470, 22450, 33675, 67350.
What is 67350 in binary?
10000011100010110 (hexadecimal 10716, octal 203426).
What is the square root of 67350?
About 259.5188, exactly 5√2694.
Is 67350 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 67350?
It is a composite number with 24 divisors.