The number 7738
7738 is a composite number with 8 divisors. Its prime factorisation is 2 × 53 × 73. Divisors (8): 1, 2, 53, 73, 106, 146, 3869, 7738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7738 is composite. Its prime factorisation is
- 3
The divisors add up to 11988; without 7738 itself that is 4250, so 7738 is deficient (4250 is less than 7738). Euler's totient φ(7738) = 3744 numbers up to 7738 share no factor with it.
- 4
The digits of 7738 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7738 = 2 \times 53 \times 73 \]
7738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 11988 |
| Euler totient φ(n) | 3744 |
| Square | 59876644 |
| Cube | 463325471272 |
| Square root | 87.965902 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 7.738 × |
7738 in other forms
| Form | Value |
|---|---|
| In words | seven thousand seven hundred and thirty-eight |
| Binary (base 2) | 1111000111010 |
| Octal (base 8) | 17072 |
| Hexadecimal (base 16) | 1E3A |
| Base 3 | 101121121 |
| As time | 7738 seconds = 2 h 8 min 58 s |
Is 7738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7738 ÷ 2 = 3869) | 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 3) | 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 3) | 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 2) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 7738 a prime number?
No. 7738 = 2 × 53 × 73, so it is divisible by 2.
What are the factors of 7738?
1, 2, 53, 73, 106, 146, 3869, 7738.
What is 7738 in binary?
1111000111010 (hexadecimal 1E3A, octal 17072).
What is the square root of 7738?
About 87.9659.
Is 7738 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 7738?
It is a composite number with 8 divisors.