The number 3552
3552 is a composite number with 24 divisors. Its prime factorisation is × 3 × 37. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148 … 3552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3552 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3552 is composite. Its prime factorisation is
- 3
The divisors add up to 9576; without 3552 itself that is 6024, so 3552 is abundant (6024 is more than 3552). Euler's totient φ(3552) = 1152 numbers up to 3552 share no factor with it.
- 4
The digits of 3552 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3552 = 2^{5} \times 3 \times 37 \]3552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 9576 |
| Euler totient φ(n) | 1152 |
| Square | 12616704 |
| Cube | 44814532608 |
| Square root | 59.598658 (= 4√222) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 74 |
| Scientific notation | 3.552 × |
3552 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and fifty-two |
| Roman numerals | MMMDLII |
| Binary (base 2) | 110111100000 |
| Octal (base 8) | 6740 |
| Hexadecimal (base 16) | DE0 |
| Base 3 | 11212120 |
| As time | 3552 seconds = 59 min 12 s |
Is 3552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3552 ÷ 2 = 1776) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3552 ÷ 3 = 1184) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3552 ÷ 4 = 888) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3552 ÷ 6 = 592) | 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 (3552 ÷ 8 = 444) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 (3552 ÷ 12 = 296) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3552 a prime number?
No. 3552 = × 3 × 37, so it is divisible by 2.
What are the factors of 3552?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776, 3552.
What is 3552 in binary?
110111100000 (hexadecimal DE0, octal 6740).
What is the square root of 3552?
About 59.5987, exactly 4√222.
What is 3552 in Roman numerals?
MMMDLII.
Is 3552 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3552?
It is a composite number with 24 divisors.