The number 67374
67374 is a composite number with 24 divisors. Its prime factorisation is 2 × × 19 × 197. Divisors (24): 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 197, 342, 394, 591, 1182 … 67374.
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How to work it out
- 1
67374 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67374 is composite. Its prime factorisation is
- 3
The divisors add up to 154440; without 67374 itself that is 87066, so 67374 is abundant (87066 is more than 67374). Euler's totient φ(67374) = 21168 numbers up to 67374 share no factor with it.
- 4
The digits of 67374 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67374 = 2 \times 3^{2} \times 19 \times 197 \]67374 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 154440 |
| Euler totient φ(n) | 21168 |
| Square | 4539255876 |
| Cube | 305827825389624 |
| Square root | 259.565021 (= 3√7486) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7374 × |
67374 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and seventy-four |
| Binary (base 2) | 10000011100101110 |
| Octal (base 8) | 203456 |
| Hexadecimal (base 16) | 1072E |
| Base 3 | 10102102100 |
| As time | 67374 seconds = 18 h 42 min 54 s |
Is 67374 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67374 ÷ 2 = 33687) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67374 ÷ 3 = 22458) | 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 | Yes (67374 ÷ 6 = 11229) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67374 ÷ 9 = 7486) | 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 10) | 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 67374 a prime number?
No. 67374 = 2 × × 19 × 197, so it is divisible by 2.
What are the factors of 67374?
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 197, 342, 394, 591, 1182, 1773, 3546, 3743, 7486, 11229, 22458, 33687, 67374.
What is 67374 in binary?
10000011100101110 (hexadecimal 1072E, octal 203456).
What is the square root of 67374?
About 259.5650, exactly 3√7486.
Is 67374 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67374?
It is a composite number with 24 divisors.