The number 2130
2130 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 71. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 71, 142, 213, 355, 426, 710, 1065, 2130.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2130: a Harshad number: divisible by its digit sum 6.
- 2
2130 is composite. Its prime factorisation is
- 3
The divisors add up to 5184; without 2130 itself that is 3054, so 2130 is abundant (3054 is more than 2130). Euler's totient φ(2130) = 560 numbers up to 2130 share no factor with it.
- 4
The digits of 2130 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2130 = 2 \times 3 \times 5 \times 71 \]
2130 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 5184 |
| Euler totient φ(n) | 560 |
| Square | 4536900 |
| Cube | 9663597000 |
| Square root | 46.151923 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 76 |
| Scientific notation | 2.13 × |
2130 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and thirty |
| Roman numerals | MMCXXX |
| Binary (base 2) | 100001010010 |
| Octal (base 8) | 4122 |
| Hexadecimal (base 16) | 852 |
| Base 3 | 2220220 |
| As time | 2130 seconds = 35 min 30 s |
Is 2130 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2130 ÷ 2 = 1065) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2130 ÷ 3 = 710) | 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 (2130 ÷ 5 = 426) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2130 ÷ 6 = 355) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2130 ÷ 10 = 213) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2130 a prime number?
No. 2130 = 2 × 3 × 5 × 71, so it is divisible by 2.
What are the factors of 2130?
1, 2, 3, 5, 6, 10, 15, 30, 71, 142, 213, 355, 426, 710, 1065, 2130.
What is 2130 in binary?
100001010010 (hexadecimal 852, octal 4122).
What is the square root of 2130?
About 46.1519.
What is 2130 in Roman numerals?
MMCXXX.
Is 2130 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 2130?
2130 is a Harshad number: divisible by its digit sum 6.