The number 4010
4010 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 401. Divisors (8): 1, 2, 5, 10, 401, 802, 2005, 4010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4010: a Harshad number: divisible by its digit sum 5.
- 2
4010 is composite. Its prime factorisation is
- 3
The divisors add up to 7236; without 4010 itself that is 3226, so 4010 is deficient (3226 is less than 4010). Euler's totient φ(4010) = 1600 numbers up to 4010 share no factor with it.
- 4
The digits of 4010 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4010 = 2 \times 5 \times 401 \]
4010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7236 |
| Euler totient φ(n) | 1600 |
| Square | 16080100 |
| Cube | 64481201000 |
| Square root | 63.324561 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 113 |
| Scientific notation | 4.01 × |
4010 in other forms
| Form | Value |
|---|---|
| In words | four thousand and ten |
| Binary (base 2) | 111110101010 |
| Octal (base 8) | 7652 |
| Hexadecimal (base 16) | FAA |
| Base 3 | 12111112 |
| As time | 4010 seconds = 1 h 6 min 50 s |
Is 4010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4010 ÷ 2 = 2005) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4010 ÷ 5 = 802) | 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 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4010 ÷ 10 = 401) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4010 a prime number?
No. 4010 = 2 × 5 × 401, so it is divisible by 2.
What are the factors of 4010?
1, 2, 5, 10, 401, 802, 2005, 4010.
What is 4010 in binary?
111110101010 (hexadecimal FAA, octal 7652).
What is the square root of 4010?
About 63.3246.
Is 4010 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 4010?
4010 is a Harshad number: divisible by its digit sum 5.