The number 7240
7240 is a composite number with 16 divisors. Its prime factorisation is × 5 × 181. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 181, 362, 724, 905, 1448, 1810, 3620, 7240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7240 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7240 is composite. Its prime factorisation is
- 3
The divisors add up to 16380; without 7240 itself that is 9140, so 7240 is abundant (9140 is more than 7240). Euler's totient φ(7240) = 2880 numbers up to 7240 share no factor with it.
- 4
The digits of 7240 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7240 = 2^{3} \times 5 \times 181 \]7240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 16380 |
| Euler totient φ(n) | 2880 |
| Square | 52417600 |
| Cube | 379503424000 |
| Square root | 85.088190 (= 2√1810) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 70 |
| Scientific notation | 7.24 × |
7240 in other forms
| Form | Value |
|---|---|
| In words | seven thousand two hundred and forty |
| Binary (base 2) | 1110001001000 |
| Octal (base 8) | 16110 |
| Hexadecimal (base 16) | 1C48 |
| Base 3 | 100221011 |
| As time | 7240 seconds = 2 h 0 min 40 s |
Is 7240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7240 ÷ 2 = 3620) | 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 (7240 ÷ 4 = 1810) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7240 ÷ 5 = 1448) | 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 2) | 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 (7240 ÷ 8 = 905) | 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 | Yes (7240 ÷ 10 = 724) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 7240 a prime number?
No. 7240 = × 5 × 181, so it is divisible by 2.
What are the factors of 7240?
1, 2, 4, 5, 8, 10, 20, 40, 181, 362, 724, 905, 1448, 1810, 3620, 7240.
What is 7240 in binary?
1110001001000 (hexadecimal 1C48, octal 16110).
What is the square root of 7240?
About 85.0882, exactly 2√1810.
Is 7240 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 7240?
It is a composite number with 16 divisors.