The number 77290
77290 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 59 × 131. Divisors (16): 1, 2, 5, 10, 59, 118, 131, 262, 295, 590, 655, 1310, 7729, 15458, 38645, 77290.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77290 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77290 is composite. Its prime factorisation is
- 3
The divisors add up to 142560; without 77290 itself that is 65270, so 77290 is deficient (65270 is less than 77290). Euler's totient φ(77290) = 30160 numbers up to 77290 share no factor with it.
- 4
The digits of 77290 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77290 = 2 \times 5 \times 59 \times 131 \]
77290 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 142560 |
| Euler totient φ(n) | 30160 |
| Square | 5973744100 |
| Cube | 461710681489000 |
| Square root | 278.010791 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.729 × |
77290 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand two hundred and ninety |
| Binary (base 2) | 10010110111101010 |
| Octal (base 8) | 226752 |
| Hexadecimal (base 16) | 12DEA |
| Base 3 | 10221000121 |
| As time | 77290 seconds = 21 h 28 min 10 s |
Is 77290 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77290 ÷ 2 = 38645) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 (77290 ÷ 5 = 15458) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77290 ÷ 10 = 7729) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77290 a prime number?
No. 77290 = 2 × 5 × 59 × 131, so it is divisible by 2.
What are the factors of 77290?
1, 2, 5, 10, 59, 118, 131, 262, 295, 590, 655, 1310, 7729, 15458, 38645, 77290.
What is 77290 in binary?
10010110111101010 (hexadecimal 12DEA, octal 226752).
What is the square root of 77290?
About 278.0108.
Is 77290 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 77290?
It is a composite number with 16 divisors.