The number 6552
6552 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 13. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28 … 6552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6552: a Harshad number: divisible by its digit sum 18.
- 2
6552 is composite. Its prime factorisation is
- 3
The divisors add up to 21840; without 6552 itself that is 15288, so 6552 is abundant (15288 is more than 6552). Euler's totient φ(6552) = 1728 numbers up to 6552 share no factor with it.
- 4
The digits of 6552 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6552 = 2^{3} \times 3^{2} \times 7 \times 13 \]6552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 21840 |
| Euler totient φ(n) | 1728 |
| Square | 42928704 |
| Cube | 281268868608 |
| Square root | 80.944425 (= 6√182) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.552 × |
6552 in other forms
| Form | Value |
|---|---|
| In words | six thousand five hundred and fifty-two |
| Binary (base 2) | 1100110011000 |
| Octal (base 8) | 14630 |
| Hexadecimal (base 16) | 1998 |
| Base 3 | 22222200 |
| As time | 6552 seconds = 1 h 49 min 12 s |
Is 6552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6552 ÷ 2 = 3276) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6552 ÷ 3 = 2184) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6552 ÷ 4 = 1638) | 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 (6552 ÷ 6 = 1092) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (6552 ÷ 7 = 936) | 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 (6552 ÷ 8 = 819) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6552 ÷ 9 = 728) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6552 ÷ 12 = 546) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6552 a prime number?
No. 6552 = × × 7 × 13, so it is divisible by 2.
What are the factors of 6552?
1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, 6552.
What is 6552 in binary?
1100110011000 (hexadecimal 1998, octal 14630).
What is the square root of 6552?
About 80.9444, exactly 6√182.
Is 6552 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 6552?
6552 is a Harshad number: divisible by its digit sum 18.