The number 5240
5240 is a composite number with 16 divisors. Its prime factorisation is × 5 × 131. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 131, 262, 524, 655, 1048, 1310, 2620, 5240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5240 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5240 is composite. Its prime factorisation is
- 3
The divisors add up to 11880; without 5240 itself that is 6640, so 5240 is abundant (6640 is more than 5240). Euler's totient φ(5240) = 2080 numbers up to 5240 share no factor with it.
- 4
The digits of 5240 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5240 = 2^{3} \times 5 \times 131 \]5240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 11880 |
| Euler totient φ(n) | 2080 |
| Square | 27457600 |
| Cube | 143877824000 |
| Square root | 72.387844 (= 2√1310) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 147 |
| Scientific notation | 5.24 × |
5240 in other forms
| Form | Value |
|---|---|
| In words | five thousand two hundred and forty |
| Binary (base 2) | 1010001111000 |
| Octal (base 8) | 12170 |
| Hexadecimal (base 16) | 1478 |
| Base 3 | 21012002 |
| As time | 5240 seconds = 1 h 27 min 20 s |
Is 5240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5240 ÷ 2 = 2620) | 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 (5240 ÷ 4 = 1310) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5240 ÷ 5 = 1048) | 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 | Yes (5240 ÷ 8 = 655) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5240 ÷ 10 = 524) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 5240 a prime number?
No. 5240 = × 5 × 131, so it is divisible by 2.
What are the factors of 5240?
1, 2, 4, 5, 8, 10, 20, 40, 131, 262, 524, 655, 1048, 1310, 2620, 5240.
What is 5240 in binary?
1010001111000 (hexadecimal 1478, octal 12170).
What is the square root of 5240?
About 72.3878, exactly 2√1310.
Is 5240 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 5240?
It is a composite number with 16 divisors.