The number 4240
4240 is a composite number with 20 divisors. Its prime factorisation is × 5 × 53. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 53, 80, 106, 212, 265, 424, 530 … 4240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4240: a Harshad number: divisible by its digit sum 10.
- 2
4240 is composite. Its prime factorisation is
- 3
The divisors add up to 10044; without 4240 itself that is 5804, so 4240 is abundant (5804 is more than 4240). Euler's totient φ(4240) = 1664 numbers up to 4240 share no factor with it.
- 4
The digits of 4240 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4240 = 2^{4} \times 5 \times 53 \]4240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 10044 |
| Euler totient φ(n) | 1664 |
| Square | 17977600 |
| Cube | 76225024000 |
| Square root | 65.115282 (= 4√265) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.24 × |
4240 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and forty |
| Binary (base 2) | 1000010010000 |
| Octal (base 8) | 10220 |
| Hexadecimal (base 16) | 1090 |
| Base 3 | 12211001 |
| As time | 4240 seconds = 1 h 10 min 40 s |
Is 4240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4240 ÷ 2 = 2120) | 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 (4240 ÷ 4 = 1060) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4240 ÷ 5 = 848) | 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 | Yes (4240 ÷ 8 = 530) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4240 ÷ 10 = 424) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 4240 a prime number?
No. 4240 = × 5 × 53, so it is divisible by 2.
What are the factors of 4240?
1, 2, 4, 5, 8, 10, 16, 20, 40, 53, 80, 106, 212, 265, 424, 530, 848, 1060, 2120, 4240.
What is 4240 in binary?
1000010010000 (hexadecimal 1090, octal 10220).
What is the square root of 4240?
About 65.1153, exactly 4√265.
Is 4240 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 4240?
4240 is a Harshad number: divisible by its digit sum 10.