The number 9401
9401 is a composite number with 8 divisors. Its prime factorisation is 7 × 17 × 79. Divisors (8): 1, 7, 17, 79, 119, 553, 1343, 9401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9401 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9401 is composite. Its prime factorisation is
- 3
The divisors add up to 11520; without 9401 itself that is 2119, so 9401 is deficient (2119 is less than 9401). Euler's totient φ(9401) = 7488 numbers up to 9401 share no factor with it.
- 4
The digits of 9401 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9401 = 7 \times 17 \times 79 \]
9401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 11520 |
| Euler totient φ(n) | 7488 |
| Square | 88378801 |
| Cube | 830849108201 |
| Square root | 96.958754 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.401 × |
9401 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and one |
| Binary (base 2) | 10010010111001 |
| Octal (base 8) | 22271 |
| Hexadecimal (base 16) | 24B9 |
| Base 3 | 110220012 |
| As time | 9401 seconds = 2 h 36 min 41 s |
Is 9401 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9401 ÷ 7 = 1343) | 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 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9401 a prime number?
No. 9401 = 7 × 17 × 79, so it is divisible by 7.
What are the factors of 9401?
1, 7, 17, 79, 119, 553, 1343, 9401.
What is 9401 in binary?
10010010111001 (hexadecimal 24B9, octal 22271).
What is the square root of 9401?
About 96.9588.
Is 9401 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 9401?
It is a composite number with 8 divisors.