The number 1110
1110 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 37. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555, 1110.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1110: a Harshad number: divisible by its digit sum 3.
- 2
1110 is composite. Its prime factorisation is
- 3
The divisors add up to 2736; without 1110 itself that is 1626, so 1110 is abundant (1626 is more than 1110). Euler's totient φ(1110) = 288 numbers up to 1110 share no factor with it.
- 4
The digits of 1110 add up to 3, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1110 = 2 \times 3 \times 5 \times 37 \]
1110 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 2736 |
| Euler totient φ(n) | 288 |
| Square | 1232100 |
| Cube | 1367631000 |
| Square root | 33.316662 |
| Digit sum / digital root | 3 / 3 |
| Collatz steps to 1 | 31 |
| Scientific notation | 1.11 × |
1110 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and ten |
| Roman numerals | MCX |
| Binary (base 2) | 10001010110 |
| Octal (base 8) | 2126 |
| Hexadecimal (base 16) | 456 |
| Base 3 | 1112010 |
| As time | 1110 seconds = 18 min 30 s |
Is 1110 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1110 ÷ 2 = 555) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1110 ÷ 3 = 370) | 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 (1110 ÷ 5 = 222) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1110 ÷ 6 = 185) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1110 ÷ 10 = 111) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 1110 a prime number?
No. 1110 = 2 × 3 × 5 × 37, so it is divisible by 2.
What are the factors of 1110?
1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555, 1110.
What is 1110 in binary?
10001010110 (hexadecimal 456, octal 2126).
What is the square root of 1110?
About 33.3167.
What is 1110 in Roman numerals?
MCX.
Is 1110 divisible by 3?
Yes. Its digits add up to 3, a multiple of 3.
What is special about the number 1110?
1110 is a Harshad number: divisible by its digit sum 3.