The number 77816
77816 is a composite number with 16 divisors. Its prime factorisation is × 71 × 137. Divisors (16): 1, 2, 4, 8, 71, 137, 142, 274, 284, 548, 568, 1096, 9727, 19454, 38908, 77816.
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How to work it out
- 1
77816 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77816 is composite. Its prime factorisation is
- 3
The divisors add up to 149040; without 77816 itself that is 71224, so 77816 is deficient (71224 is less than 77816). Euler's totient φ(77816) = 38080 numbers up to 77816 share no factor with it.
- 4
The digits of 77816 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77816 = 2^{3} \times 71 \times 137 \]77816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 149040 |
| Euler totient φ(n) | 38080 |
| Square | 6055329856 |
| Cube | 471201548074496 |
| Square root | 278.955194 (= 2√19454) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.7816 × |
77816 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand eight hundred and sixteen |
| Binary (base 2) | 10010111111111000 |
| Octal (base 8) | 227770 |
| Hexadecimal (base 16) | 12FF8 |
| Base 3 | 10221202002 |
| As time | 77816 seconds = 21 h 36 min 56 s |
Is 77816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77816 ÷ 2 = 38908) | 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 (77816 ÷ 4 = 19454) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (77816 ÷ 8 = 9727) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 77816 a prime number?
No. 77816 = × 71 × 137, so it is divisible by 2.
What are the factors of 77816?
1, 2, 4, 8, 71, 137, 142, 274, 284, 548, 568, 1096, 9727, 19454, 38908, 77816.
What is 77816 in binary?
10010111111111000 (hexadecimal 12FF8, octal 227770).
What is the square root of 77816?
About 278.9552, exactly 2√19454.
Is 77816 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 77816?
It is a composite number with 16 divisors.