The number 77367
77367 is a composite number with 16 divisors. Its prime factorisation is 3 × 17 × 37 × 41. Divisors (16): 1, 3, 17, 37, 41, 51, 111, 123, 629, 697, 1517, 1887, 2091, 4551, 25789, 77367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77367: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77367 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 77367 itself that is 37545, so 77367 is deficient (37545 is less than 77367). Euler's totient φ(77367) = 46080 numbers up to 77367 share no factor with it.
- 4
The digits of 77367 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77367 = 3 \times 17 \times 37 \times 41 \]
77367 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 46080 |
| Square | 5985652689 |
| Cube | 463091991589863 |
| Square root | 278.149241 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7367 × |
77367 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and sixty-seven |
| Binary (base 2) | 10010111000110111 |
| Octal (base 8) | 227067 |
| Hexadecimal (base 16) | 12E37 |
| Base 3 | 10221010110 |
| As time | 77367 seconds = 21 h 29 min 27 s |
Is 77367 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 (77367 ÷ 3 = 25789) | 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 3) | 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 | 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 4) | 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 77367 a prime number?
No. 77367 = 3 × 17 × 37 × 41, so it is divisible by 3.
What are the factors of 77367?
1, 3, 17, 37, 41, 51, 111, 123, 629, 697, 1517, 1887, 2091, 4551, 25789, 77367.
What is 77367 in binary?
10010111000110111 (hexadecimal 12E37, octal 227067).
What is the square root of 77367?
About 278.1492.
Is 77367 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 77367?
77367 is a happy number: repeatedly adding the squares of its digits reaches 1.