The number 6407
6407 is a composite number with 4 divisors. Its prime factorisation is 43 × 149. Divisors (4): 1, 43, 149, 6407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6407: a semiprime: 43 × 149, the product of two primes.
- 2
6407 is composite. Its prime factorisation is
- 3
The divisors add up to 6600; without 6407 itself that is 193, so 6407 is deficient (193 is less than 6407). Euler's totient φ(6407) = 6216 numbers up to 6407 share no factor with it.
- 4
The digits of 6407 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6407 = 43 \times 149 \]
6407 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 6600 |
| Euler totient φ(n) | 6216 |
| Square | 41049649 |
| Cube | 263005101143 |
| Square root | 80.043738 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 168 |
| Scientific notation | 6.407 × |
6407 in other forms
| Form | Value |
|---|---|
| In words | six thousand four hundred and seven |
| Binary (base 2) | 1100100000111 |
| Octal (base 8) | 14407 |
| Hexadecimal (base 16) | 1907 |
| Base 3 | 22210022 |
| As time | 6407 seconds = 1 h 46 min 47 s |
Is 6407 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 2) | 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 8) | 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 5) | 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 6407 a prime number?
No. 6407 = 43 × 149, so it is divisible by 43.
What are the factors of 6407?
1, 43, 149, 6407.
What is 6407 in binary?
1100100000111 (hexadecimal 1907, octal 14407).
What is the square root of 6407?
About 80.0437.
Is 6407 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 6407?
6407 is a semiprime: 43 × 149, the product of two primes.