The number 7340
7340 is a composite number with 12 divisors. Its prime factorisation is × 5 × 367. Divisors (12): 1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7340 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7340 is composite. Its prime factorisation is
- 3
The divisors add up to 15456; without 7340 itself that is 8116, so 7340 is abundant (8116 is more than 7340). Euler's totient φ(7340) = 2928 numbers up to 7340 share no factor with it.
- 4
The digits of 7340 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7340 = 2^{2} \times 5 \times 367 \]7340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 15456 |
| Euler totient φ(n) | 2928 |
| Square | 53875600 |
| Cube | 395446904000 |
| Square root | 85.673800 (= 2√1835) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.34 × |
7340 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and forty |
| Binary (base 2) | 1110010101100 |
| Octal (base 8) | 16254 |
| Hexadecimal (base 16) | 1CAC |
| Base 3 | 101001212 |
| As time | 7340 seconds = 2 h 2 min 20 s |
Is 7340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7340 ÷ 2 = 3670) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7340 ÷ 4 = 1835) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7340 ÷ 5 = 1468) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7340 ÷ 10 = 734) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7340 a prime number?
No. 7340 = × 5 × 367, so it is divisible by 2.
What are the factors of 7340?
1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340.
What is 7340 in binary?
1110010101100 (hexadecimal 1CAC, octal 16254).
What is the square root of 7340?
About 85.6738, exactly 2√1835.
Is 7340 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 7340?
It is a composite number with 12 divisors.