The number 7748
7748 is a composite number with 12 divisors. Its prime factorisation is × 13 × 149. Divisors (12): 1, 2, 4, 13, 26, 52, 149, 298, 596, 1937, 3874, 7748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7748: a Harshad number: divisible by its digit sum 26.
- 2
7748 is composite. Its prime factorisation is
- 3
The divisors add up to 14700; without 7748 itself that is 6952, so 7748 is deficient (6952 is less than 7748). Euler's totient φ(7748) = 3552 numbers up to 7748 share no factor with it.
- 4
The digits of 7748 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7748 = 2^{2} \times 13 \times 149 \]7748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 14700 |
| Euler totient φ(n) | 3552 |
| Square | 60031504 |
| Cube | 465124092992 |
| Square root | 88.022724 (= 2√1937) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.748 × |
7748 in other forms
| Form | Value |
|---|---|
| In words | seven thousand seven hundred and forty-eight |
| Binary (base 2) | 1111001000100 |
| Octal (base 8) | 17104 |
| Hexadecimal (base 16) | 1E44 |
| Base 3 | 101121222 |
| As time | 7748 seconds = 2 h 9 min 8 s |
Is 7748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7748 ÷ 2 = 3874) | 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 (7748 ÷ 4 = 1937) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 7748 a prime number?
No. 7748 = × 13 × 149, so it is divisible by 2.
What are the factors of 7748?
1, 2, 4, 13, 26, 52, 149, 298, 596, 1937, 3874, 7748.
What is 7748 in binary?
1111001000100 (hexadecimal 1E44, octal 17104).
What is the square root of 7748?
About 88.0227, exactly 2√1937.
Is 7748 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 7748?
7748 is a Harshad number: divisible by its digit sum 26.