The number 11004
11004 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 131. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 131, 262, 393, 524 … 11004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11004: a Harshad number: divisible by its digit sum 6.
- 2
11004 is composite. Its prime factorisation is
- 3
The divisors add up to 29568; without 11004 itself that is 18564, so 11004 is abundant (18564 is more than 11004). Euler's totient φ(11004) = 3120 numbers up to 11004 share no factor with it.
- 4
The digits of 11004 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 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11004 = 2^{2} \times 3 \times 7 \times 131 \]11004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 29568 |
| Euler totient φ(n) | 3120 |
| Square | 121088016 |
| Cube | 1332452528064 |
| Square root | 104.899952 (= 2√2751) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 174 |
| Scientific notation | 1.1004 × |
11004 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and four |
| Binary (base 2) | 10101011111100 |
| Octal (base 8) | 25374 |
| Hexadecimal (base 16) | 2AFC |
| Base 3 | 120002120 |
| As time | 11004 seconds = 3 h 3 min 24 s |
Is 11004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11004 ÷ 2 = 5502) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11004 ÷ 3 = 3668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11004 ÷ 4 = 2751) | 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 (11004 ÷ 6 = 1834) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (11004 ÷ 7 = 1572) | 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 4) | 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 (11004 ÷ 12 = 917) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11004 a prime number?
No. 11004 = × 3 × 7 × 131, so it is divisible by 2.
What are the factors of 11004?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 131, 262, 393, 524, 786, 917, 1572, 1834, 2751, 3668, 5502, 11004.
What is 11004 in binary?
10101011111100 (hexadecimal 2AFC, octal 25374).
What is the square root of 11004?
About 104.9000, exactly 2√2751.
Is 11004 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 11004?
11004 is a Harshad number: divisible by its digit sum 6.