The number 77090
77090 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 593. Divisors (16): 1, 2, 5, 10, 13, 26, 65, 130, 593, 1186, 2965, 5930, 7709, 15418, 38545, 77090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77090 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77090 is composite. Its prime factorisation is
- 3
The divisors add up to 149688; without 77090 itself that is 72598, so 77090 is deficient (72598 is less than 77090). Euler's totient φ(77090) = 28416 numbers up to 77090 share no factor with it.
- 4
The digits of 77090 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77090 = 2 \times 5 \times 13 \times 593 \]
77090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 149688 |
| Euler totient φ(n) | 28416 |
| Square | 5942868100 |
| Cube | 458135701829000 |
| Square root | 277.650860 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.709 × |
77090 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and ninety |
| Binary (base 2) | 10010110100100010 |
| Octal (base 8) | 226442 |
| Hexadecimal (base 16) | 12D22 |
| Base 3 | 10220202012 |
| As time | 77090 seconds = 21 h 24 min 50 s |
Is 77090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77090 ÷ 2 = 38545) | 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 (77090 ÷ 5 = 15418) | 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 6) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77090 ÷ 10 = 7709) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77090 a prime number?
No. 77090 = 2 × 5 × 13 × 593, so it is divisible by 2.
What are the factors of 77090?
1, 2, 5, 10, 13, 26, 65, 130, 593, 1186, 2965, 5930, 7709, 15418, 38545, 77090.
What is 77090 in binary?
10010110100100010 (hexadecimal 12D22, octal 226442).
What is the square root of 77090?
About 277.6509.
Is 77090 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 77090?
It is a composite number with 16 divisors.