The number 7248
7248 is a composite number with 20 divisors. Its prime factorisation is × 3 × 151. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 151, 302, 453, 604, 906, 1208 … 7248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7248: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7248 is composite. Its prime factorisation is
- 3
The divisors add up to 18848; without 7248 itself that is 11600, so 7248 is abundant (11600 is more than 7248). Euler's totient φ(7248) = 2400 numbers up to 7248 share no factor with it.
- 4
The digits of 7248 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 18 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7248 = 2^{4} \times 3 \times 151 \]7248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 18848 |
| Euler totient φ(n) | 2400 |
| Square | 52533504 |
| Cube | 380762836992 |
| Square root | 85.135187 (= 4√453) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 18 |
| Scientific notation | 7.248 × |
7248 in other forms
| Form | Value |
|---|---|
| In words | seven thousand two hundred and forty-eight |
| Binary (base 2) | 1110001010000 |
| Octal (base 8) | 16120 |
| Hexadecimal (base 16) | 1C50 |
| Base 3 | 100221110 |
| As time | 7248 seconds = 2 h 0 min 48 s |
Is 7248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7248 ÷ 2 = 3624) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7248 ÷ 3 = 2416) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7248 ÷ 4 = 1812) | 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 | Yes (7248 ÷ 6 = 1208) | 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 | Yes (7248 ÷ 8 = 906) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (7248 ÷ 12 = 604) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7248 a prime number?
No. 7248 = × 3 × 151, so it is divisible by 2.
What are the factors of 7248?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 151, 302, 453, 604, 906, 1208, 1812, 2416, 3624, 7248.
What is 7248 in binary?
1110001010000 (hexadecimal 1C50, octal 16120).
What is the square root of 7248?
About 85.1352, exactly 4√453.
Is 7248 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 7248?
7248 is a happy number: repeatedly adding the squares of its digits reaches 1.