The number 77814
77814 is a composite number with 32 divisors. Its prime factorisation is 2 × × 11 × 131. Divisors (32): 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 131, 198, 262 … 77814.
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How to work it out
- 1
What is special about 77814: a Harshad number: divisible by its digit sum 27.
- 2
77814 is composite. Its prime factorisation is
- 3
The divisors add up to 190080; without 77814 itself that is 112266, so 77814 is abundant (112266 is more than 77814). Euler's totient φ(77814) = 23400 numbers up to 77814 share no factor with it.
- 4
The digits of 77814 add up to 27, 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
\[ 77814 = 2 \times 3^{3} \times 11 \times 131 \]77814 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 190080 |
| Euler totient φ(n) | 23400 |
| Square | 6055018596 |
| Cube | 471165217029144 |
| Square root | 278.951609 (= 3√8646) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 130 |
| Scientific notation | 7.7814 × |
77814 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand eight hundred and fourteen |
| Binary (base 2) | 10010111111110110 |
| Octal (base 8) | 227766 |
| Hexadecimal (base 16) | 12FF6 |
| Base 3 | 10221202000 |
| As time | 77814 seconds = 21 h 36 min 54 s |
Is 77814 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77814 ÷ 2 = 38907) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77814 ÷ 3 = 25938) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77814 ÷ 6 = 12969) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77814 ÷ 9 = 8646) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (77814 ÷ 11 = 7074) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77814 a prime number?
No. 77814 = 2 × × 11 × 131, so it is divisible by 2.
What are the factors of 77814?
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 131, 198, 262, 297, 393, 594, 786, 1179, 1441, 2358, 2882, 3537, 4323, 7074, 8646, 12969, 25938, 38907, 77814.
What is 77814 in binary?
10010111111110110 (hexadecimal 12FF6, octal 227766).
What is the square root of 77814?
About 278.9516, exactly 3√8646.
Is 77814 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77814?
77814 is a Harshad number: divisible by its digit sum 27.