The number 67353
67353 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 13 × 157. Divisors (16): 1, 3, 11, 13, 33, 39, 143, 157, 429, 471, 1727, 2041, 5181, 6123, 22451, 67353.
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How to work it out
- 1
67353 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67353 is composite. Its prime factorisation is
- 3
The divisors add up to 106176; without 67353 itself that is 38823, so 67353 is deficient (38823 is less than 67353). Euler's totient φ(67353) = 37440 numbers up to 67353 share no factor with it.
- 4
The digits of 67353 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 236 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67353 = 3 \times 11 \times 13 \times 157 \]
67353 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 106176 |
| Euler totient φ(n) | 37440 |
| Square | 4536426609 |
| Cube | 305541941395977 |
| Square root | 259.524565 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 236 |
| Scientific notation | 6.7353 × |
67353 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and fifty-three |
| Binary (base 2) | 10000011100011001 |
| Octal (base 8) | 203431 |
| Hexadecimal (base 16) | 10719 |
| Base 3 | 10102101120 |
| As time | 67353 seconds = 18 h 42 min 33 s |
Is 67353 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67353 ÷ 3 = 22451) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (67353 ÷ 11 = 6123) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67353 a prime number?
No. 67353 = 3 × 11 × 13 × 157, so it is divisible by 3.
What are the factors of 67353?
1, 3, 11, 13, 33, 39, 143, 157, 429, 471, 1727, 2041, 5181, 6123, 22451, 67353.
What is 67353 in binary?
10000011100011001 (hexadecimal 10719, octal 203431).
What is the square root of 67353?
About 259.5246.
Is 67353 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 67353?
It is a composite number with 16 divisors.