The number 1104
1104 is a composite number with 20 divisors. Its prime factorisation is × 3 × 23. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184 … 1104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1104: a Harshad number: divisible by its digit sum 6.
- 2
1104 is composite. Its prime factorisation is
- 3
The divisors add up to 2976; without 1104 itself that is 1872, so 1104 is abundant (1872 is more than 1104). Euler's totient φ(1104) = 352 numbers up to 1104 share no factor with it.
- 4
The digits of 1104 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 18 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1104 = 2^{4} \times 3 \times 23 \]1104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 2976 |
| Euler totient φ(n) | 352 |
| Square | 1218816 |
| Cube | 1345572864 |
| Square root | 33.226495 (= 4√69) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 18 |
| Scientific notation | 1.104 × |
1104 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and four |
| Roman numerals | MCIV |
| Binary (base 2) | 10001010000 |
| Octal (base 8) | 2120 |
| Hexadecimal (base 16) | 450 |
| Base 3 | 1111220 |
| As time | 1104 seconds = 18 min 24 s |
Is 1104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1104 ÷ 2 = 552) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1104 ÷ 3 = 368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1104 ÷ 4 = 276) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1104 ÷ 6 = 184) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (1104 ÷ 8 = 138) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1104 ÷ 12 = 92) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1104 a prime number?
No. 1104 = × 3 × 23, so it is divisible by 2.
What are the factors of 1104?
1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184, 276, 368, 552, 1104.
What is 1104 in binary?
10001010000 (hexadecimal 450, octal 2120).
What is the square root of 1104?
About 33.2265, exactly 4√69.
What is 1104 in Roman numerals?
MCIV.
Is 1104 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 1104?
1104 is a Harshad number: divisible by its digit sum 6.