The number 8344
8344 is a composite number with 16 divisors. Its prime factorisation is × 7 × 149. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8344 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8344 is composite. Its prime factorisation is
- 3
The divisors add up to 18000; without 8344 itself that is 9656, so 8344 is abundant (9656 is more than 8344). Euler's totient φ(8344) = 3552 numbers up to 8344 share no factor with it.
- 4
The digits of 8344 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8344 = 2^{3} \times 7 \times 149 \]8344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18000 |
| Euler totient φ(n) | 3552 |
| Square | 69622336 |
| Cube | 580928771584 |
| Square root | 91.345498 (= 2√2086) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.344 × |
8344 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and forty-four |
| Binary (base 2) | 10000010011000 |
| Octal (base 8) | 20230 |
| Hexadecimal (base 16) | 2098 |
| Base 3 | 102110001 |
| As time | 8344 seconds = 2 h 19 min 4 s |
Is 8344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8344 ÷ 2 = 4172) | 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 | Yes (8344 ÷ 4 = 2086) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8344 ÷ 7 = 1192) | 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 | Yes (8344 ÷ 8 = 1043) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8344 a prime number?
No. 8344 = × 7 × 149, so it is divisible by 2.
What are the factors of 8344?
1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344.
What is 8344 in binary?
10000010011000 (hexadecimal 2098, octal 20230).
What is the square root of 8344?
About 91.3455, exactly 2√2086.
Is 8344 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 8344?
It is a composite number with 16 divisors.