The number 7348
7348 is a composite number with 12 divisors. Its prime factorisation is × 11 × 167. Divisors (12): 1, 2, 4, 11, 22, 44, 167, 334, 668, 1837, 3674, 7348.
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How to work it out
- 1
What is special about 7348: a Harshad number: divisible by its digit sum 22.
- 2
7348 is composite. Its prime factorisation is
- 3
The divisors add up to 14112; without 7348 itself that is 6764, so 7348 is deficient (6764 is less than 7348). Euler's totient φ(7348) = 3320 numbers up to 7348 share no factor with it.
- 4
The digits of 7348 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7348 = 2^{2} \times 11 \times 167 \]7348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 14112 |
| Euler totient φ(n) | 3320 |
| Square | 53993104 |
| Cube | 396741328192 |
| Square root | 85.720476 (= 2√1837) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.348 × |
7348 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and forty-eight |
| Binary (base 2) | 1110010110100 |
| Octal (base 8) | 16264 |
| Hexadecimal (base 16) | 1CB4 |
| Base 3 | 101002011 |
| As time | 7348 seconds = 2 h 2 min 28 s |
Is 7348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7348 ÷ 2 = 3674) | 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 (7348 ÷ 4 = 1837) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (7348 ÷ 11 = 668) | 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 7348 a prime number?
No. 7348 = × 11 × 167, so it is divisible by 2.
What are the factors of 7348?
1, 2, 4, 11, 22, 44, 167, 334, 668, 1837, 3674, 7348.
What is 7348 in binary?
1110010110100 (hexadecimal 1CB4, octal 16264).
What is the square root of 7348?
About 85.7205, exactly 2√1837.
Is 7348 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 7348?
7348 is a Harshad number: divisible by its digit sum 22.