The number 79801
79801 is the 7814th prime number. Its only divisors are 1 and 79801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 79801: the 7814th prime number.
- 2
79801 is prime, so its only factors are 1 and 79801. It is the 7814th prime; the next prime is 79811 and the one before is 79777.
- 3
The divisors add up to 79802; without 79801 itself that is 1, so 79801 is deficient (1 is less than 79801). Euler's totient φ(79801) = 79800 numbers up to 79801 share no factor with it.
- 4
The digits of 79801 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 107 steps to reach 1.
79801 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 79802 |
| Euler totient φ(n) | 79800 |
| Square | 6368199601 |
| Cube | 508188696359401 |
| Square root | 282.490708 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.9801 × |
79801 in other forms
| Form | Value |
|---|---|
| In words | seventy-nine thousand eight hundred and one |
| Binary (base 2) | 10011011110111001 |
| Octal (base 8) | 233671 |
| Hexadecimal (base 16) | 137B9 |
| Base 3 | 11001110121 |
| As time | 79801 seconds = 22 h 10 min 1 s |
Is 79801 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 1) | 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 7) | 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 7) | 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 79801 a prime number?
Yes. 79801 is divisible only by 1 and itself.
What are the factors of 79801?
1, 79801.
What is 79801 in binary?
10011011110111001 (hexadecimal 137B9, octal 233671).
What is the square root of 79801?
About 282.4907.
Is 79801 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 79801?
79801 is the 7814th prime number.