The number 77168
77168 is a composite number with 40 divisors. Its prime factorisation is × 7 × 13 × 53. Divisors (40): 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 53, 56, 91, 104, 106 … 77168.
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How to work it out
- 1
77168 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77168 is composite. Its prime factorisation is
- 3
The divisors add up to 187488; without 77168 itself that is 110320, so 77168 is abundant (110320 is more than 77168). Euler's totient φ(77168) = 29952 numbers up to 77168 share no factor with it.
- 4
The digits of 77168 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77168 = 2^{4} \times 7 \times 13 \times 53 \]77168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 187488 |
| Euler totient φ(n) | 29952 |
| Square | 5954900224 |
| Cube | 459527740485632 |
| Square root | 277.791289 (= 4√4823) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7168 × |
77168 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and sixty-eight |
| Binary (base 2) | 10010110101110000 |
| Octal (base 8) | 226560 |
| Hexadecimal (base 16) | 12D70 |
| Base 3 | 10220212002 |
| As time | 77168 seconds = 21 h 26 min 8 s |
Is 77168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77168 ÷ 2 = 38584) | 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 (77168 ÷ 4 = 19292) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (77168 ÷ 7 = 11024) | 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 (77168 ÷ 8 = 9646) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 77168 a prime number?
No. 77168 = × 7 × 13 × 53, so it is divisible by 2.
What are the factors of 77168?
1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 53, 56, 91, 104, 106, 112, 182, 208, 212, 364, 371, 424, 689, 728, 742, 848, 1378, 1456, 1484, 2756, 2968, 4823, 5512, 5936, 9646, 11024, 19292, 38584, 77168.
What is 77168 in binary?
10010110101110000 (hexadecimal 12D70, octal 226560).
What is the square root of 77168?
About 277.7913, exactly 4√4823.
Is 77168 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 77168?
It is a composite number with 40 divisors.