The number 67377
67377 is a composite number with 8 divisors. Its prime factorisation is 3 × 37 × 607. Divisors (8): 1, 3, 37, 111, 607, 1821, 22459, 67377.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67377: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67377 is composite. Its prime factorisation is
- 3
The divisors add up to 92416; without 67377 itself that is 25039, so 67377 is deficient (25039 is less than 67377). Euler's totient φ(67377) = 43632 numbers up to 67377 share no factor with it.
- 4
The digits of 67377 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67377 = 3 \times 37 \times 607 \]
67377 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 92416 |
| Euler totient φ(n) | 43632 |
| Square | 4539660129 |
| Cube | 305868680511633 |
| Square root | 259.570800 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7377 × |
67377 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and seventy-seven |
| Binary (base 2) | 10000011100110001 |
| Octal (base 8) | 203461 |
| Hexadecimal (base 16) | 10731 |
| Base 3 | 10102102110 |
| As time | 67377 seconds = 18 h 42 min 57 s |
Is 67377 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 (67377 ÷ 3 = 22459) | 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 2) | 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 2) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 67377 a prime number?
No. 67377 = 3 × 37 × 607, so it is divisible by 3.
What are the factors of 67377?
1, 3, 37, 111, 607, 1821, 22459, 67377.
What is 67377 in binary?
10000011100110001 (hexadecimal 10731, octal 203461).
What is the square root of 67377?
About 259.5708.
Is 67377 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 67377?
67377 is a happy number: repeatedly adding the squares of its digits reaches 1.