The number 77690
77690 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 17 × 457. Divisors (16): 1, 2, 5, 10, 17, 34, 85, 170, 457, 914, 2285, 4570, 7769, 15538, 38845, 77690.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77690 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77690 is composite. Its prime factorisation is
- 3
The divisors add up to 148392; without 77690 itself that is 70702, so 77690 is deficient (70702 is less than 77690). Euler's totient φ(77690) = 29184 numbers up to 77690 share no factor with it.
- 4
The digits of 77690 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77690 = 2 \times 5 \times 17 \times 457 \]
77690 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 148392 |
| Euler totient φ(n) | 29184 |
| Square | 6035736100 |
| Cube | 468916337609000 |
| Square root | 278.729259 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.769 × |
77690 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand six hundred and ninety |
| Binary (base 2) | 10010111101111010 |
| Octal (base 8) | 227572 |
| Hexadecimal (base 16) | 12F7A |
| Base 3 | 10221120102 |
| As time | 77690 seconds = 21 h 34 min 50 s |
Is 77690 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77690 ÷ 2 = 38845) | 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 | Yes (77690 ÷ 5 = 15538) | 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 | No (remainder 2) | 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 | Yes (77690 ÷ 10 = 7769) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 77690 a prime number?
No. 77690 = 2 × 5 × 17 × 457, so it is divisible by 2.
What are the factors of 77690?
1, 2, 5, 10, 17, 34, 85, 170, 457, 914, 2285, 4570, 7769, 15538, 38845, 77690.
What is 77690 in binary?
10010111101111010 (hexadecimal 12F7A, octal 227572).
What is the square root of 77690?
About 278.7293.
Is 77690 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 77690?
It is a composite number with 16 divisors.