The number 77016
77016 is a composite number with 16 divisors. Its prime factorisation is × 3 × 3209. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 3209, 6418, 9627, 12836, 19254, 25672, 38508, 77016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77016 is composite. Its prime factorisation is
- 3
The divisors add up to 192600; without 77016 itself that is 115584, so 77016 is abundant (115584 is more than 77016). Euler's totient φ(77016) = 25664 numbers up to 77016 share no factor with it.
- 4
The digits of 77016 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77016 = 2^{3} \times 3 \times 3209 \]77016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 192600 |
| Euler totient φ(n) | 25664 |
| Square | 5931464256 |
| Cube | 456817651140096 |
| Square root | 277.517567 (= 2√19254) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7016 × |
77016 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and sixteen |
| Binary (base 2) | 10010110011011000 |
| Octal (base 8) | 226330 |
| Hexadecimal (base 16) | 12CD8 |
| Base 3 | 10220122110 |
| As time | 77016 seconds = 21 h 23 min 36 s |
Is 77016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77016 ÷ 2 = 38508) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77016 ÷ 3 = 25672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77016 ÷ 4 = 19254) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77016 ÷ 6 = 12836) | 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 | Yes (77016 ÷ 8 = 9627) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (77016 ÷ 12 = 6418) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77016 a prime number?
No. 77016 = × 3 × 3209, so it is divisible by 2.
What are the factors of 77016?
1, 2, 3, 4, 6, 8, 12, 24, 3209, 6418, 9627, 12836, 19254, 25672, 38508, 77016.
What is 77016 in binary?
10010110011011000 (hexadecimal 12CD8, octal 226330).
What is the square root of 77016?
About 277.5176, exactly 2√19254.
Is 77016 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 77016?
It is a composite number with 16 divisors.