The number 77983
77983 is the 7661st prime number. Its only divisors are 1 and 77983.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77983: the 7661st prime number.
- 2
77983 is prime, so its only factors are 1 and 77983. It is the 7661st prime; the next prime is 77999 and the one before is 77977.
- 3
The divisors add up to 77984; without 77983 itself that is 1, so 77983 is deficient (1 is less than 77983). Euler's totient φ(77983) = 77982 numbers up to 77983 share no factor with it.
- 4
The digits of 77983 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 156 steps to reach 1.
77983 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77984 |
| Euler totient φ(n) | 77982 |
| Square | 6081348289 |
| Cube | 474241783621087 |
| Square root | 279.254364 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.7983 × |
77983 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and eighty-three |
| Binary (base 2) | 10011000010011111 |
| Octal (base 8) | 230237 |
| Hexadecimal (base 16) | 1309F |
| Base 3 | 10221222021 |
| As time | 77983 seconds = 21 h 39 min 43 s |
Is 77983 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 3) | 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 3) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77983 a prime number?
Yes. 77983 is divisible only by 1 and itself.
What are the factors of 77983?
1, 77983.
What is 77983 in binary?
10011000010011111 (hexadecimal 1309F, octal 230237).
What is the square root of 77983?
About 279.2544.
Is 77983 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 77983?
77983 is the 7661st prime number.