The number 4060
4060 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 29. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145 … 4060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4060: a Harshad number: divisible by its digit sum 10.
- 2
4060 is composite. Its prime factorisation is
- 3
The divisors add up to 10080; without 4060 itself that is 6020, so 4060 is abundant (6020 is more than 4060). Euler's totient φ(4060) = 1344 numbers up to 4060 share no factor with it.
- 4
The digits of 4060 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4060 = 2^{2} \times 5 \times 7 \times 29 \]4060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 10080 |
| Euler totient φ(n) | 1344 |
| Square | 16483600 |
| Cube | 66923416000 |
| Square root | 63.718129 (= 2√1015) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 38 |
| Scientific notation | 4.06 × |
4060 in other forms
| Form | Value |
|---|---|
| In words | four thousand and sixty |
| Binary (base 2) | 111111011100 |
| Octal (base 8) | 7734 |
| Hexadecimal (base 16) | FDC |
| Base 3 | 12120101 |
| As time | 4060 seconds = 1 h 7 min 40 s |
Is 4060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4060 ÷ 2 = 2030) | 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 (4060 ÷ 4 = 1015) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4060 ÷ 5 = 812) | 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 | Yes (4060 ÷ 7 = 580) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4060 ÷ 10 = 406) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 4060 a prime number?
No. 4060 = × 5 × 7 × 29, so it is divisible by 2.
What are the factors of 4060?
1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030, 4060.
What is 4060 in binary?
111111011100 (hexadecimal FDC, octal 7734).
What is the square root of 4060?
About 63.7181, exactly 2√1015.
Is 4060 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 4060?
4060 is a Harshad number: divisible by its digit sum 10.