The number 67354
67354 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 17 × 283. Divisors (16): 1, 2, 7, 14, 17, 34, 119, 238, 283, 566, 1981, 3962, 4811, 9622, 33677, 67354.
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How to work it out
- 1
67354 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67354 is composite. Its prime factorisation is
- 3
The divisors add up to 122688; without 67354 itself that is 55334, so 67354 is deficient (55334 is less than 67354). Euler's totient φ(67354) = 27072 numbers up to 67354 share no factor with it.
- 4
The digits of 67354 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67354 = 2 \times 7 \times 17 \times 283 \]
67354 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 122688 |
| Euler totient φ(n) | 27072 |
| Square | 4536561316 |
| Cube | 305555550877864 |
| Square root | 259.526492 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 37 |
| Scientific notation | 6.7354 × |
67354 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and fifty-four |
| Binary (base 2) | 10000011100011010 |
| Octal (base 8) | 203432 |
| Hexadecimal (base 16) | 1071A |
| Base 3 | 10102101121 |
| As time | 67354 seconds = 18 h 42 min 34 s |
Is 67354 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67354 ÷ 2 = 33677) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67354 ÷ 7 = 9622) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67354 a prime number?
No. 67354 = 2 × 7 × 17 × 283, so it is divisible by 2.
What are the factors of 67354?
1, 2, 7, 14, 17, 34, 119, 238, 283, 566, 1981, 3962, 4811, 9622, 33677, 67354.
What is 67354 in binary?
10000011100011010 (hexadecimal 1071A, octal 203432).
What is the square root of 67354?
About 259.5265.
Is 67354 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 67354?
It is a composite number with 16 divisors.