The number 83401
83401 is a twin prime (83399 and 83401 are both prime) and the 8141st prime number. Its only divisors are 1 and 83401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83401: a twin prime (83399 and 83401 are both prime); the 8141st prime number.
- 2
83401 is prime, so its only factors are 1 and 83401. It is the 8141st prime; the next prime is 83407 and the one before is 83399.
- 3
The divisors add up to 83402; without 83401 itself that is 1, so 83401 is deficient (1 is less than 83401). Euler's totient φ(83401) = 83400 numbers up to 83401 share no factor with it.
- 4
The digits of 83401 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
83401 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 83402 |
| Euler totient φ(n) | 83400 |
| Square | 6955726801 |
| Cube | 580114570930201 |
| Square root | 288.792313 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.3401 × |
83401 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand four hundred and one |
| Binary (base 2) | 10100010111001001 |
| Octal (base 8) | 242711 |
| Hexadecimal (base 16) | 145C9 |
| Base 3 | 11020101221 |
| As time | 83401 seconds = 23 h 10 min 1 s |
Is 83401 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 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 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 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 83401 a prime number?
Yes. 83401 is divisible only by 1 and itself.
What are the factors of 83401?
1, 83401.
What is 83401 in binary?
10100010111001001 (hexadecimal 145C9, octal 242711).
What is the square root of 83401?
About 288.7923.
Is 83401 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 83401?
83401 is a twin prime (83399 and 83401 are both prime); the 8141st prime number.