The number 67977
67977 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 83. Divisors (24): 1, 3, 7, 9, 13, 21, 39, 63, 83, 91, 117, 249, 273, 581, 747, 819 … 67977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67977 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67977 is composite. Its prime factorisation is
- 3
The divisors add up to 122304; without 67977 itself that is 54327, so 67977 is deficient (54327 is less than 67977). Euler's totient φ(67977) = 35424 numbers up to 67977 share no factor with it.
- 4
The digits of 67977 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67977 = 3^{2} \times 7 \times 13 \times 83 \]67977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 122304 |
| Euler totient φ(n) | 35424 |
| Square | 4620872529 |
| Cube | 314113051903833 |
| Square root | 260.723992 (= 3√7553) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7977 × |
67977 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and seventy-seven |
| Binary (base 2) | 10000100110001001 |
| Octal (base 8) | 204611 |
| Hexadecimal (base 16) | 10989 |
| Base 3 | 10110020200 |
| As time | 67977 seconds = 18 h 52 min 57 s |
Is 67977 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 (67977 ÷ 3 = 22659) | 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 | Yes (67977 ÷ 7 = 9711) | 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 | Yes (67977 ÷ 9 = 7553) | 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 8) | 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 67977 a prime number?
No. 67977 = × 7 × 13 × 83, so it is divisible by 3.
What are the factors of 67977?
1, 3, 7, 9, 13, 21, 39, 63, 83, 91, 117, 249, 273, 581, 747, 819, 1079, 1743, 3237, 5229, 7553, 9711, 22659, 67977.
What is 67977 in binary?
10000100110001001 (hexadecimal 10989, octal 204611).
What is the square root of 67977?
About 260.7240, exactly 3√7553.
Is 67977 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 67977?
It is a composite number with 24 divisors.