The number 4130
4130 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 59. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 59, 70, 118, 295, 413, 590, 826, 2065, 4130.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4130 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4130 is composite. Its prime factorisation is
- 3
The divisors add up to 8640; without 4130 itself that is 4510, so 4130 is abundant (4510 is more than 4130). Euler's totient φ(4130) = 1392 numbers up to 4130 share no factor with it.
- 4
The digits of 4130 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4130 = 2 \times 5 \times 7 \times 59 \]
4130 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8640 |
| Euler totient φ(n) | 1392 |
| Square | 17056900 |
| Cube | 70444997000 |
| Square root | 64.265076 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.13 × |
4130 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and thirty |
| Binary (base 2) | 1000000100010 |
| Octal (base 8) | 10042 |
| Hexadecimal (base 16) | 1022 |
| Base 3 | 12122222 |
| As time | 4130 seconds = 1 h 8 min 50 s |
Is 4130 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4130 ÷ 2 = 2065) | 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 (4130 ÷ 5 = 826) | 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 | Yes (4130 ÷ 7 = 590) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4130 ÷ 10 = 413) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 4130 a prime number?
No. 4130 = 2 × 5 × 7 × 59, so it is divisible by 2.
What are the factors of 4130?
1, 2, 5, 7, 10, 14, 35, 59, 70, 118, 295, 413, 590, 826, 2065, 4130.
What is 4130 in binary?
1000000100010 (hexadecimal 1022, octal 10042).
What is the square root of 4130?
About 64.2651.
Is 4130 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 4130?
It is a composite number with 16 divisors.