The number 76801
76801 is the 7551st prime number. Its only divisors are 1 and 76801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76801: the 7551st prime number.
- 2
76801 is prime, so its only factors are 1 and 76801. It is the 7551st prime; the next prime is 76819 and the one before is 76781.
- 3
The divisors add up to 76802; without 76801 itself that is 1, so 76801 is deficient (1 is less than 76801). Euler's totient φ(76801) = 76800 numbers up to 76801 share no factor with it.
- 4
The digits of 76801 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
76801 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 76802 |
| Euler totient φ(n) | 76800 |
| Square | 5898393601 |
| Cube | 453002526950401 |
| Square root | 277.129933 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.6801 × |
76801 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand eight hundred and one |
| Binary (base 2) | 10010110000000001 |
| Octal (base 8) | 226001 |
| Hexadecimal (base 16) | 12C01 |
| Base 3 | 10220100111 |
| As time | 76801 seconds = 21 h 20 min 1 s |
Is 76801 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 4) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76801 a prime number?
Yes. 76801 is divisible only by 1 and itself.
What are the factors of 76801?
1, 76801.
What is 76801 in binary?
10010110000000001 (hexadecimal 12C01, octal 226001).
What is the square root of 76801?
About 277.1299.
Is 76801 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 76801?
76801 is the 7551st prime number.