The number 4248
4248 is a composite number with 24 divisors. Its prime factorisation is × × 59. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236 … 4248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4248: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
4248 is composite. Its prime factorisation is
- 3
The divisors add up to 11700; without 4248 itself that is 7452, so 4248 is abundant (7452 is more than 4248). Euler's totient φ(4248) = 1392 numbers up to 4248 share no factor with it.
- 4
The digits of 4248 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4248 = 2^{3} \times 3^{2} \times 59 \]4248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 11700 |
| Euler totient φ(n) | 1392 |
| Square | 18045504 |
| Cube | 76657300992 |
| Square root | 65.176683 (= 6√118) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.248 × |
4248 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and forty-eight |
| Binary (base 2) | 1000010011000 |
| Octal (base 8) | 10230 |
| Hexadecimal (base 16) | 1098 |
| Base 3 | 12211100 |
| As time | 4248 seconds = 1 h 10 min 48 s |
Is 4248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4248 ÷ 2 = 2124) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4248 ÷ 3 = 1416) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4248 ÷ 4 = 1062) | 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 (4248 ÷ 6 = 708) | 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 | Yes (4248 ÷ 8 = 531) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4248 ÷ 9 = 472) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4248 ÷ 12 = 354) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4248 a prime number?
No. 4248 = × × 59, so it is divisible by 2.
What are the factors of 4248?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124, 4248.
What is 4248 in binary?
1000010011000 (hexadecimal 1098, octal 10230).
What is the square root of 4248?
About 65.1767, exactly 6√118.
Is 4248 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4248?
4248 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.