The number 4120
4120 is a composite number with 16 divisors. Its prime factorisation is × 5 × 103. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4120 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4120 is composite. Its prime factorisation is
- 3
The divisors add up to 9360; without 4120 itself that is 5240, so 4120 is abundant (5240 is more than 4120). Euler's totient φ(4120) = 1632 numbers up to 4120 share no factor with it.
- 4
The digits of 4120 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4120 = 2^{3} \times 5 \times 103 \]4120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 9360 |
| Euler totient φ(n) | 1632 |
| Square | 16974400 |
| Cube | 69934528000 |
| Square root | 64.187226 (= 2√1030) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.12 × |
4120 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and twenty |
| Binary (base 2) | 1000000011000 |
| Octal (base 8) | 10030 |
| Hexadecimal (base 16) | 1018 |
| Base 3 | 12122121 |
| As time | 4120 seconds = 1 h 8 min 40 s |
Is 4120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4120 ÷ 2 = 2060) | 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 (4120 ÷ 4 = 1030) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4120 ÷ 5 = 824) | 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 4) | 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 (4120 ÷ 8 = 515) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4120 ÷ 10 = 412) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4120 a prime number?
No. 4120 = × 5 × 103, so it is divisible by 2.
What are the factors of 4120?
1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120.
What is 4120 in binary?
1000000011000 (hexadecimal 1018, octal 10030).
What is the square root of 4120?
About 64.1872, exactly 2√1030.
Is 4120 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 4120?
It is a composite number with 16 divisors.