The number 4080
4080 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 17. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34 … 4080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4080: a Harshad number: divisible by its digit sum 12.
- 2
4080 is composite. Its prime factorisation is
- 3
The divisors add up to 13392; without 4080 itself that is 9312, so 4080 is abundant (9312 is more than 4080). Euler's totient φ(4080) = 1024 numbers up to 4080 share no factor with it.
- 4
The digits of 4080 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4080 = 2^{4} \times 3 \times 5 \times 17 \]4080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 13392 |
| Euler totient φ(n) | 1024 |
| Square | 16646400 |
| Cube | 67917312000 |
| Square root | 63.874878 (= 4√255) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 51 |
| Scientific notation | 4.08 × |
4080 in other forms
| Form | Value |
|---|---|
| In words | four thousand and eighty |
| Binary (base 2) | 111111110000 |
| Octal (base 8) | 7760 |
| Hexadecimal (base 16) | FF0 |
| Base 3 | 12121010 |
| As time | 4080 seconds = 1 h 8 min 0 s |
Is 4080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4080 ÷ 2 = 2040) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4080 ÷ 3 = 1360) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4080 ÷ 4 = 1020) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4080 ÷ 5 = 816) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4080 ÷ 6 = 680) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (4080 ÷ 8 = 510) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4080 ÷ 10 = 408) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4080 ÷ 12 = 340) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4080 a prime number?
No. 4080 = × 3 × 5 × 17, so it is divisible by 2.
What are the factors of 4080?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080.
What is 4080 in binary?
111111110000 (hexadecimal FF0, octal 7760).
What is the square root of 4080?
About 63.8749, exactly 4√255.
Is 4080 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 4080?
4080 is a Harshad number: divisible by its digit sum 12.