The number 2170
2170 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 31. Divisors (16): 1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2170: a Harshad number: divisible by its digit sum 10.
- 2
2170 is composite. Its prime factorisation is
- 3
The divisors add up to 4608; without 2170 itself that is 2438, so 2170 is abundant (2438 is more than 2170). Euler's totient φ(2170) = 720 numbers up to 2170 share no factor with it.
- 4
The digits of 2170 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2170 = 2 \times 5 \times 7 \times 31 \]
2170 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 4608 |
| Euler totient φ(n) | 720 |
| Square | 4708900 |
| Cube | 10218313000 |
| Square root | 46.583259 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 45 |
| Scientific notation | 2.17 × |
2170 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and seventy |
| Roman numerals | MMCLXX |
| Binary (base 2) | 100001111010 |
| Octal (base 8) | 4172 |
| Hexadecimal (base 16) | 87A |
| Base 3 | 2222101 |
| As time | 2170 seconds = 36 min 10 s |
Is 2170 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2170 ÷ 2 = 1085) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2170 ÷ 5 = 434) | 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 | Yes (2170 ÷ 7 = 310) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2170 ÷ 10 = 217) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2170 a prime number?
No. 2170 = 2 × 5 × 7 × 31, so it is divisible by 2.
What are the factors of 2170?
1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170.
What is 2170 in binary?
100001111010 (hexadecimal 87A, octal 4172).
What is the square root of 2170?
About 46.5833.
What is 2170 in Roman numerals?
MMCLXX.
Is 2170 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 2170?
2170 is a Harshad number: divisible by its digit sum 10.