The number 5344
5344 is a composite number with 12 divisors. Its prime factorisation is × 167. Divisors (12): 1, 2, 4, 8, 16, 32, 167, 334, 668, 1336, 2672, 5344.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5344: a Harshad number: divisible by its digit sum 16.
- 2
5344 is composite. Its prime factorisation is
- 3
The divisors add up to 10584; without 5344 itself that is 5240, so 5344 is deficient (5240 is less than 5344). Euler's totient φ(5344) = 2656 numbers up to 5344 share no factor with it.
- 4
The digits of 5344 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5344 = 2^{5} \times 167 \]5344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10584 |
| Euler totient φ(n) | 2656 |
| Square | 28558336 |
| Cube | 152615747584 |
| Square root | 73.102668 (= 4√334) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 72 |
| Scientific notation | 5.344 × |
5344 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and forty-four |
| Binary (base 2) | 1010011100000 |
| Octal (base 8) | 12340 |
| Hexadecimal (base 16) | 14E0 |
| Base 3 | 21022221 |
| As time | 5344 seconds = 1 h 29 min 4 s |
Is 5344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5344 ÷ 2 = 2672) | 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 (5344 ÷ 4 = 1336) | 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 | No (remainder 3) | 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 (5344 ÷ 8 = 668) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | 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 5344 a prime number?
No. 5344 = × 167, so it is divisible by 2.
What are the factors of 5344?
1, 2, 4, 8, 16, 32, 167, 334, 668, 1336, 2672, 5344.
What is 5344 in binary?
1010011100000 (hexadecimal 14E0, octal 12340).
What is the square root of 5344?
About 73.1027, exactly 4√334.
Is 5344 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 5344?
5344 is a Harshad number: divisible by its digit sum 16.