The number 4070
4070 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 37. Divisors (16): 1, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035, 4070.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4070: a Harshad number: divisible by its digit sum 11.
- 2
4070 is composite. Its prime factorisation is
- 3
The divisors add up to 8208; without 4070 itself that is 4138, so 4070 is abundant (4138 is more than 4070). Euler's totient φ(4070) = 1440 numbers up to 4070 share no factor with it.
- 4
The digits of 4070 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 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4070 = 2 \times 5 \times 11 \times 37 \]
4070 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8208 |
| Euler totient φ(n) | 1440 |
| Square | 16564900 |
| Cube | 67419143000 |
| Square root | 63.796552 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 157 |
| Scientific notation | 4.07 × |
4070 in other forms
| Form | Value |
|---|---|
| In words | four thousand and seventy |
| Binary (base 2) | 111111100110 |
| Octal (base 8) | 7746 |
| Hexadecimal (base 16) | FE6 |
| Base 3 | 12120202 |
| As time | 4070 seconds = 1 h 7 min 50 s |
Is 4070 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4070 ÷ 2 = 2035) | 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 (4070 ÷ 5 = 814) | 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 3) | 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 6) | 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 (4070 ÷ 10 = 407) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (4070 ÷ 11 = 370) | 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 4070 a prime number?
No. 4070 = 2 × 5 × 11 × 37, so it is divisible by 2.
What are the factors of 4070?
1, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035, 4070.
What is 4070 in binary?
111111100110 (hexadecimal FE6, octal 7746).
What is the square root of 4070?
About 63.7966.
Is 4070 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 4070?
4070 is a Harshad number: divisible by its digit sum 11.