The number 1102
1102 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 29. Divisors (8): 1, 2, 19, 29, 38, 58, 551, 1102.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1102 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1102 is composite. Its prime factorisation is
- 3
The divisors add up to 1800; without 1102 itself that is 698, so 1102 is deficient (698 is less than 1102). Euler's totient φ(1102) = 504 numbers up to 1102 share no factor with it.
- 4
The digits of 1102 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1102 = 2 \times 19 \times 29 \]
1102 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1800 |
| Euler totient φ(n) | 504 |
| Square | 1214404 |
| Cube | 1338273208 |
| Square root | 33.196385 |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 44 |
| Scientific notation | 1.102 × |
1102 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and two |
| Roman numerals | MCII |
| Binary (base 2) | 10001001110 |
| Octal (base 8) | 2116 |
| Hexadecimal (base 16) | 44E |
| Base 3 | 1111211 |
| As time | 1102 seconds = 18 min 22 s |
Is 1102 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1102 ÷ 2 = 551) | 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 | No (remainder 2) | 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 3) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 1102 a prime number?
No. 1102 = 2 × 19 × 29, so it is divisible by 2.
What are the factors of 1102?
1, 2, 19, 29, 38, 58, 551, 1102.
What is 1102 in binary?
10001001110 (hexadecimal 44E, octal 2116).
What is the square root of 1102?
About 33.1964.
What is 1102 in Roman numerals?
MCII.
Is 1102 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 1102?
It is a composite number with 8 divisors.