The number 2704
2704 is a perfect square (52²). Its prime factorisation is × . Divisors (15): 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2704: a perfect square (52²); a Harshad number: divisible by its digit sum 13.
- 2
2704 is composite. Its prime factorisation is
- 3
The divisors add up to 5673; without 2704 itself that is 2969, so 2704 is abundant (2969 is more than 2704). Euler's totient φ(2704) = 1248 numbers up to 2704 share no factor with it.
- 4
The digits of 2704 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2704 = 2^{4} \times 13^{2} \]2704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 15 |
| Sum of divisors | 5673 |
| Euler totient φ(n) | 1248 |
| Square | 7311616 |
| Cube | 19770609664 |
| Square root | 52 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 53 |
| Scientific notation | 2.704 × |
| Perfect power |
2704 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and four |
| Roman numerals | MMDCCIV |
| Binary (base 2) | 101010010000 |
| Octal (base 8) | 5220 |
| Hexadecimal (base 16) | A90 |
| Base 3 | 10201011 |
| As time | 2704 seconds = 45 min 4 s |
Is 2704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2704 ÷ 2 = 1352) | 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 | Yes (2704 ÷ 4 = 676) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (2704 ÷ 8 = 338) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2704 a prime number?
No. 2704 = × , so it is divisible by 2.
What are the factors of 2704?
1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704.
What is 2704 in binary?
101010010000 (hexadecimal A90, octal 5220).
What is the square root of 2704?
52, because 52 × 52 = 2704.
What is 2704 in Roman numerals?
MMDCCIV.
Is 2704 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 2704?
2704 is a perfect square (52²); a Harshad number: divisible by its digit sum 13.