The number 552
552 is a composite number with 16 divisors. Its prime factorisation is × 3 × 23. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 552: a Harshad number: divisible by its digit sum 12.
- 2
552 is composite. Its prime factorisation is
- 3
The divisors add up to 1440; without 552 itself that is 888, so 552 is abundant (888 is more than 552). Euler's totient φ(552) = 176 numbers up to 552 share no factor with it.
- 4
The digits of 552 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 17 steps to reach 1.
LaTeX source of the formulas on this page
\[ 552 = 2^{3} \times 3 \times 23 \]552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 1440 |
| Euler totient φ(n) | 176 |
| Square | 304704 |
| Cube | 168196608 |
| Square root | 23.494680 (= 2√138) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 17 |
| Scientific notation | 5.52 × |
552 in other forms
| Form | Value |
|---|---|
| In words | five hundred and fifty-two |
| Roman numerals | DLII |
| Binary (base 2) | 1000101000 |
| Octal (base 8) | 1050 |
| Hexadecimal (base 16) | 228 |
| Base 3 | 202110 |
| As time | 552 seconds = 9 min 12 s |
Is 552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (552 ÷ 2 = 276) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (552 ÷ 3 = 184) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (552 ÷ 4 = 138) | 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 (552 ÷ 6 = 92) | 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 (552 ÷ 8 = 69) | 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 2) | 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 (552 ÷ 12 = 46) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 552 a prime number?
No. 552 = × 3 × 23, so it is divisible by 2.
What are the factors of 552?
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552.
What is 552 in binary?
1000101000 (hexadecimal 228, octal 1050).
What is the square root of 552?
About 23.4947, exactly 2√138.
What is 552 in Roman numerals?
DLII.
Is 552 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 552?
552 is a Harshad number: divisible by its digit sum 12.