The number 9407
9407 is a composite number with 4 divisors. Its prime factorisation is 23 × 409. Divisors (4): 1, 23, 409, 9407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9407: a semiprime: 23 × 409, the product of two primes.
- 2
9407 is composite. Its prime factorisation is
- 3
The divisors add up to 9840; without 9407 itself that is 433, so 9407 is deficient (433 is less than 9407). Euler's totient φ(9407) = 8976 numbers up to 9407 share no factor with it.
- 4
The digits of 9407 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9407 = 23 \times 409 \]
9407 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9840 |
| Euler totient φ(n) | 8976 |
| Square | 88491649 |
| Cube | 832440942143 |
| Square root | 96.989690 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 109 |
| Scientific notation | 9.407 × |
9407 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and seven |
| Binary (base 2) | 10010010111111 |
| Octal (base 8) | 22277 |
| Hexadecimal (base 16) | 24BF |
| Base 3 | 110220102 |
| As time | 9407 seconds = 2 h 36 min 47 s |
Is 9407 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | No (remainder 6) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9407 a prime number?
No. 9407 = 23 × 409, so it is divisible by 23.
What are the factors of 9407?
1, 23, 409, 9407.
What is 9407 in binary?
10010010111111 (hexadecimal 24BF, octal 22277).
What is the square root of 9407?
About 96.9897.
Is 9407 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 9407?
9407 is a semiprime: 23 × 409, the product of two primes.