The number 8407
8407 is a composite number with 4 divisors. Its prime factorisation is 7 × 1201. Divisors (4): 1, 7, 1201, 8407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8407: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 1201, the product of two primes.
- 2
8407 is composite. Its prime factorisation is
- 3
The divisors add up to 9616; without 8407 itself that is 1209, so 8407 is deficient (1209 is less than 8407). Euler's totient φ(8407) = 7200 numbers up to 8407 share no factor with it.
- 4
The digits of 8407 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8407 = 7 \times 1201 \]
8407 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9616 |
| Euler totient φ(n) | 7200 |
| Square | 70677649 |
| Cube | 594186995143 |
| Square root | 91.689694 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.407 × |
8407 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and seven |
| Binary (base 2) | 10000011010111 |
| Octal (base 8) | 20327 |
| Hexadecimal (base 16) | 20D7 |
| Base 3 | 102112101 |
| As time | 8407 seconds = 2 h 20 min 7 s |
Is 8407 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8407 ÷ 7 = 1201) | 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 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8407 a prime number?
No. 8407 = 7 × 1201, so it is divisible by 7.
What are the factors of 8407?
1, 7, 1201, 8407.
What is 8407 in binary?
10000011010111 (hexadecimal 20D7, octal 20327).
What is the square root of 8407?
About 91.6897.
Is 8407 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 8407?
8407 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 1201, the product of two primes.