The number 77479
77479 is a twin prime (77477 and 77479 are both prime) and the 7611th prime number. Its only divisors are 1 and 77479.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77479: a twin prime (77477 and 77479 are both prime); the 7611th prime number.
- 2
77479 is prime, so its only factors are 1 and 77479. It is the 7611th prime; the next prime is 77489 and the one before is 77477.
- 3
The divisors add up to 77480; without 77479 itself that is 1, so 77479 is deficient (1 is less than 77479). Euler's totient φ(77479) = 77478 numbers up to 77479 share no factor with it.
- 4
The digits of 77479 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
77479 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77480 |
| Euler totient φ(n) | 77478 |
| Square | 6002995441 |
| Cube | 465106083773239 |
| Square root | 278.350498 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7479 × |
77479 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and seventy-nine |
| Binary (base 2) | 10010111010100111 |
| Octal (base 8) | 227247 |
| Hexadecimal (base 16) | 12EA7 |
| Base 3 | 10221021121 |
| As time | 77479 seconds = 21 h 31 min 19 s |
Is 77479 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | 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 7) | 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 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77479 a prime number?
Yes. 77479 is divisible only by 1 and itself.
What are the factors of 77479?
1, 77479.
What is 77479 in binary?
10010111010100111 (hexadecimal 12EA7, octal 227247).
What is the square root of 77479?
About 278.3505.
Is 77479 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 77479?
77479 is a twin prime (77477 and 77479 are both prime); the 7611th prime number.