The number 8401
8401 is a composite number with 4 divisors. Its prime factorisation is 31 × 271. Divisors (4): 1, 31, 271, 8401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8401: a semiprime: 31 × 271, the product of two primes.
- 2
8401 is composite. Its prime factorisation is
- 3
The divisors add up to 8704; without 8401 itself that is 303, so 8401 is deficient (303 is less than 8401). Euler's totient φ(8401) = 8100 numbers up to 8401 share no factor with it.
- 4
The digits of 8401 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8401 = 31 \times 271 \]
8401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 8704 |
| Euler totient φ(n) | 8100 |
| Square | 70576801 |
| Cube | 592915705201 |
| Square root | 91.656969 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.401 × |
8401 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and one |
| Binary (base 2) | 10000011010001 |
| Octal (base 8) | 20321 |
| Hexadecimal (base 16) | 20D1 |
| Base 3 | 102112011 |
| As time | 8401 seconds = 2 h 20 min 1 s |
Is 8401 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 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 8) | 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 8401 a prime number?
No. 8401 = 31 × 271, so it is divisible by 31.
What are the factors of 8401?
1, 31, 271, 8401.
What is 8401 in binary?
10000011010001 (hexadecimal 20D1, octal 20321).
What is the square root of 8401?
About 91.6570.
Is 8401 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 8401?
8401 is a semiprime: 31 × 271, the product of two primes.