The number 77967
77967 is a composite number with 6 divisors. Its prime factorisation is × 8663. Divisors (6): 1, 3, 9, 8663, 25989, 77967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77967 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77967 is composite. Its prime factorisation is
- 3
The divisors add up to 112632; without 77967 itself that is 34665, so 77967 is deficient (34665 is less than 77967). Euler's totient φ(77967) = 51972 numbers up to 77967 share no factor with it.
- 4
The digits of 77967 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 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77967 = 3^{2} \times 8663 \]77967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 112632 |
| Euler totient φ(n) | 51972 |
| Square | 6078853089 |
| Cube | 473949938790063 |
| Square root | 279.225715 (= 3√8663) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 130 |
| Scientific notation | 7.7967 × |
77967 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and sixty-seven |
| Binary (base 2) | 10011000010001111 |
| Octal (base 8) | 230217 |
| Hexadecimal (base 16) | 1308F |
| Base 3 | 10221221200 |
| As time | 77967 seconds = 21 h 39 min 27 s |
Is 77967 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 (77967 ÷ 3 = 25989) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77967 ÷ 9 = 8663) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77967 a prime number?
No. 77967 = × 8663, so it is divisible by 3.
What are the factors of 77967?
1, 3, 9, 8663, 25989, 77967.
What is 77967 in binary?
10011000010001111 (hexadecimal 1308F, octal 230217).
What is the square root of 77967?
About 279.2257, exactly 3√8663.
Is 77967 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 77967?
It is a composite number with 6 divisors.