The number 77714
77714 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 61. Divisors (24): 1, 2, 7, 13, 14, 26, 49, 61, 91, 98, 122, 182, 427, 637, 793, 854 … 77714.
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How to work it out
- 1
What is special about 77714: a Harshad number: divisible by its digit sum 26.
- 2
77714 is composite. Its prime factorisation is
- 3
The divisors add up to 148428; without 77714 itself that is 70714, so 77714 is deficient (70714 is less than 77714). Euler's totient φ(77714) = 30240 numbers up to 77714 share no factor with it.
- 4
The digits of 77714 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77714 = 2 \times 7^{2} \times 13 \times 61 \]77714 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 148428 |
| Euler totient φ(n) | 30240 |
| Square | 6039465796 |
| Cube | 469351044870344 |
| Square root | 278.772309 (= 7√1586) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7714 × |
77714 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and fourteen |
| Binary (base 2) | 10010111110010010 |
| Octal (base 8) | 227622 |
| Hexadecimal (base 16) | 12F92 |
| Base 3 | 10221121022 |
| As time | 77714 seconds = 21 h 35 min 14 s |
Is 77714 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77714 ÷ 2 = 38857) | 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 | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77714 ÷ 7 = 11102) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77714 a prime number?
No. 77714 = 2 × × 13 × 61, so it is divisible by 2.
What are the factors of 77714?
1, 2, 7, 13, 14, 26, 49, 61, 91, 98, 122, 182, 427, 637, 793, 854, 1274, 1586, 2989, 5551, 5978, 11102, 38857, 77714.
What is 77714 in binary?
10010111110010010 (hexadecimal 12F92, octal 227622).
What is the square root of 77714?
About 278.7723, exactly 7√1586.
Is 77714 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 77714?
77714 is a Harshad number: divisible by its digit sum 26.