The number 7604
7604 is a composite number with 6 divisors. Its prime factorisation is × 1901. Divisors (6): 1, 2, 4, 1901, 3802, 7604.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7604 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7604 is composite. Its prime factorisation is
- 3
The divisors add up to 13314; without 7604 itself that is 5710, so 7604 is deficient (5710 is less than 7604). Euler's totient φ(7604) = 3800 numbers up to 7604 share no factor with it.
- 4
The digits of 7604 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7604 = 2^{2} \times 1901 \]7604 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 13314 |
| Euler totient φ(n) | 3800 |
| Square | 57820816 |
| Cube | 439669484864 |
| Square root | 87.200917 (= 2√1901) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 31 |
| Scientific notation | 7.604 × |
7604 in other forms
| Form | Value |
|---|---|
| In words | seven thousand six hundred and four |
| Binary (base 2) | 1110110110100 |
| Octal (base 8) | 16664 |
| Hexadecimal (base 16) | 1DB4 |
| Base 3 | 101102122 |
| As time | 7604 seconds = 2 h 6 min 44 s |
Is 7604 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7604 ÷ 2 = 3802) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7604 ÷ 4 = 1901) | 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 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7604 a prime number?
No. 7604 = × 1901, so it is divisible by 2.
What are the factors of 7604?
1, 2, 4, 1901, 3802, 7604.
What is 7604 in binary?
1110110110100 (hexadecimal 1DB4, octal 16664).
What is the square root of 7604?
About 87.2009, exactly 2√1901.
Is 7604 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 7604?
It is a composite number with 6 divisors.