The number 7774
7774 is a composite number with 12 divisors. Its prime factorisation is 2 × × 23. Divisors (12): 1, 2, 13, 23, 26, 46, 169, 299, 338, 598, 3887, 7774.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7774 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7774 is composite. Its prime factorisation is
- 3
The divisors add up to 13176; without 7774 itself that is 5402, so 7774 is deficient (5402 is less than 7774). Euler's totient φ(7774) = 3432 numbers up to 7774 share no factor with it.
- 4
The digits of 7774 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7774 = 2 \times 13^{2} \times 23 \]7774 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 13176 |
| Euler totient φ(n) | 3432 |
| Square | 60435076 |
| Cube | 469822280824 |
| Square root | 88.170290 (= 13√46) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.774 × |
7774 in other forms
| Form | Value |
|---|---|
| In words | seven thousand seven hundred and seventy-four |
| Binary (base 2) | 1111001011110 |
| Octal (base 8) | 17136 |
| Hexadecimal (base 16) | 1E5E |
| Base 3 | 101122221 |
| As time | 7774 seconds = 2 h 9 min 34 s |
Is 7774 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7774 ÷ 2 = 3887) | 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 | No (remainder 2) | 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 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7774 a prime number?
No. 7774 = 2 × × 23, so it is divisible by 2.
What are the factors of 7774?
1, 2, 13, 23, 26, 46, 169, 299, 338, 598, 3887, 7774.
What is 7774 in binary?
1111001011110 (hexadecimal 1E5E, octal 17136).
What is the square root of 7774?
About 88.1703, exactly 13√46.
Is 7774 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 7774?
It is a composite number with 12 divisors.