The number 7344
7344 is a composite number with 40 divisors. Its prime factorisation is × × 17. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48 … 7344.
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How to work it out
- 1
What is special about 7344: a Harshad number: divisible by its digit sum 18.
- 2
7344 is composite. Its prime factorisation is
- 3
The divisors add up to 22320; without 7344 itself that is 14976, so 7344 is abundant (14976 is more than 7344). Euler's totient φ(7344) = 2304 numbers up to 7344 share no factor with it.
- 4
The digits of 7344 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7344 = 2^{4} \times 3^{3} \times 17 \]7344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 22320 |
| Euler totient φ(n) | 2304 |
| Square | 53934336 |
| Cube | 396093763584 |
| Square root | 85.697141 (= 12√51) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.344 × |
7344 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and forty-four |
| Binary (base 2) | 1110010110000 |
| Octal (base 8) | 16260 |
| Hexadecimal (base 16) | 1CB0 |
| Base 3 | 101002000 |
| As time | 7344 seconds = 2 h 2 min 24 s |
Is 7344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7344 ÷ 2 = 3672) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7344 ÷ 3 = 2448) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7344 ÷ 4 = 1836) | 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 | Yes (7344 ÷ 6 = 1224) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (7344 ÷ 8 = 918) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (7344 ÷ 9 = 816) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (7344 ÷ 12 = 612) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7344 a prime number?
No. 7344 = × × 17, so it is divisible by 2.
What are the factors of 7344?
1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 102, 108, 136, 144, 153, 204, 216, 272, 306, 408, 432, 459, 612, 816, 918, 1224, 1836, 2448, 3672, 7344.
What is 7344 in binary?
1110010110000 (hexadecimal 1CB0, octal 16260).
What is the square root of 7344?
About 85.6971, exactly 12√51.
Is 7344 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 7344?
7344 is a Harshad number: divisible by its digit sum 18.