The number 2604
2604 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 31. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124 … 2604.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2604: a Harshad number: divisible by its digit sum 12.
- 2
2604 is composite. Its prime factorisation is
- 3
The divisors add up to 7168; without 2604 itself that is 4564, so 2604 is abundant (4564 is more than 2604). Euler's totient φ(2604) = 720 numbers up to 2604 share no factor with it.
- 4
The digits of 2604 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2604 = 2^{2} \times 3 \times 7 \times 31 \]2604 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 7168 |
| Euler totient φ(n) | 720 |
| Square | 6780816 |
| Cube | 17657244864 |
| Square root | 51.029403 (= 2√651) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 102 |
| Scientific notation | 2.604 × |
2604 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and four |
| Roman numerals | MMDCIV |
| Binary (base 2) | 101000101100 |
| Octal (base 8) | 5054 |
| Hexadecimal (base 16) | A2C |
| Base 3 | 10120110 |
| As time | 2604 seconds = 43 min 24 s |
Is 2604 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2604 ÷ 2 = 1302) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2604 ÷ 3 = 868) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2604 ÷ 4 = 651) | 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 (2604 ÷ 6 = 434) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2604 ÷ 7 = 372) | 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 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2604 ÷ 12 = 217) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2604 a prime number?
No. 2604 = × 3 × 7 × 31, so it is divisible by 2.
What are the factors of 2604?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302, 2604.
What is 2604 in binary?
101000101100 (hexadecimal A2C, octal 5054).
What is the square root of 2604?
About 51.0294, exactly 2√651.
What is 2604 in Roman numerals?
MMDCIV.
Is 2604 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 2604?
2604 is a Harshad number: divisible by its digit sum 12.