The number 77489
77489 is a twin prime (77489 and 77491 are both prime) and the 7612th prime number. Its only divisors are 1 and 77489.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77489: a twin prime (77489 and 77491 are both prime); the 7612th prime number.
- 2
77489 is prime, so its only factors are 1 and 77489. It is the 7612th prime; the next prime is 77491 and the one before is 77479.
- 3
The divisors add up to 77490; without 77489 itself that is 1, so 77489 is deficient (1 is less than 77489). Euler's totient φ(77489) = 77488 numbers up to 77489 share no factor with it.
- 4
The digits of 77489 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
77489 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77490 |
| Euler totient φ(n) | 77488 |
| Square | 6004545121 |
| Cube | 465286196881169 |
| Square root | 278.368461 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7489 × |
77489 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and eighty-nine |
| Binary (base 2) | 10010111010110001 |
| Octal (base 8) | 227261 |
| Hexadecimal (base 16) | 12EB1 |
| Base 3 | 10221021222 |
| As time | 77489 seconds = 21 h 31 min 29 s |
Is 77489 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | 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 5) | 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77489 a prime number?
Yes. 77489 is divisible only by 1 and itself.
What are the factors of 77489?
1, 77489.
What is 77489 in binary?
10010111010110001 (hexadecimal 12EB1, octal 227261).
What is the square root of 77489?
About 278.3685.
Is 77489 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 77489?
77489 is a twin prime (77489 and 77491 are both prime); the 7612th prime number.