The number 7448
7448 is a composite number with 24 divisors. Its prime factorisation is × × 19. Divisors (24): 1, 2, 4, 7, 8, 14, 19, 28, 38, 49, 56, 76, 98, 133, 152, 196 … 7448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7448 is composite. Its prime factorisation is
- 3
The divisors add up to 17100; without 7448 itself that is 9652, so 7448 is abundant (9652 is more than 7448). Euler's totient φ(7448) = 3024 numbers up to 7448 share no factor with it.
- 4
The digits of 7448 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7448 = 2^{3} \times 7^{2} \times 19 \]7448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 17100 |
| Euler totient φ(n) | 3024 |
| Square | 55472704 |
| Cube | 413160699392 |
| Square root | 86.301796 (= 14√38) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 39 |
| Scientific notation | 7.448 × |
7448 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and forty-eight |
| Binary (base 2) | 1110100011000 |
| Octal (base 8) | 16430 |
| Hexadecimal (base 16) | 1D18 |
| Base 3 | 101012212 |
| As time | 7448 seconds = 2 h 4 min 8 s |
Is 7448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7448 ÷ 2 = 3724) | 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 (7448 ÷ 4 = 1862) | 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 | Yes (7448 ÷ 7 = 1064) | 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 | Yes (7448 ÷ 8 = 931) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | 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 7448 a prime number?
No. 7448 = × × 19, so it is divisible by 2.
What are the factors of 7448?
1, 2, 4, 7, 8, 14, 19, 28, 38, 49, 56, 76, 98, 133, 152, 196, 266, 392, 532, 931, 1064, 1862, 3724, 7448.
What is 7448 in binary?
1110100011000 (hexadecimal 1D18, octal 16430).
What is the square root of 7448?
About 86.3018, exactly 14√38.
Is 7448 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 7448?
It is a composite number with 24 divisors.