The number 67376
67376 is a palindrome: it reads 67376 backwards too. Its prime factorisation is × 4211. Divisors (10): 1, 2, 4, 8, 16, 4211, 8422, 16844, 33688, 67376.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67376: a palindrome: it reads 67376 backwards too.
- 2
67376 is composite. Its prime factorisation is
- 3
The divisors add up to 130572; without 67376 itself that is 63196, so 67376 is deficient (63196 is less than 67376). Euler's totient φ(67376) = 33680 numbers up to 67376 share no factor with it.
- 4
The digits of 67376 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67376 = 2^{4} \times 4211 \]67376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 130572 |
| Euler totient φ(n) | 33680 |
| Square | 4539525376 |
| Cube | 305855061733376 |
| Square root | 259.568873 (= 4√4211) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.7376 × |
67376 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and seventy-six |
| Binary (base 2) | 10000011100110000 |
| Octal (base 8) | 203460 |
| Hexadecimal (base 16) | 10730 |
| Base 3 | 10102102102 |
| As time | 67376 seconds = 18 h 42 min 56 s |
Is 67376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67376 ÷ 2 = 33688) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67376 ÷ 4 = 16844) | 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 | No (remainder 2) | 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 | Yes (67376 ÷ 8 = 8422) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67376 a prime number?
No. 67376 = × 4211, so it is divisible by 2.
What are the factors of 67376?
1, 2, 4, 8, 16, 4211, 8422, 16844, 33688, 67376.
What is 67376 in binary?
10000011100110000 (hexadecimal 10730, octal 203460).
What is the square root of 67376?
About 259.5689, exactly 4√4211.
Is 67376 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 67376?
67376 is a palindrome: it reads 67376 backwards too.