The number 2552
2552 is a palindrome: it reads 2552 backwards too. Its prime factorisation is × 11 × 29. Divisors (16): 1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 1276, 2552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2552: a palindrome: it reads 2552 backwards too.
- 2
2552 is composite. Its prime factorisation is
- 3
The divisors add up to 5400; without 2552 itself that is 2848, so 2552 is abundant (2848 is more than 2552). Euler's totient φ(2552) = 1120 numbers up to 2552 share no factor with it.
- 4
The digits of 2552 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2552 = 2^{3} \times 11 \times 29 \]2552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 5400 |
| Euler totient φ(n) | 1120 |
| Square | 6512704 |
| Cube | 16620420608 |
| Square root | 50.517324 (= 2√638) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 58 |
| Scientific notation | 2.552 × |
2552 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and fifty-two |
| Roman numerals | MMDLII |
| Binary (base 2) | 100111111000 |
| Octal (base 8) | 4770 |
| Hexadecimal (base 16) | 9F8 |
| Base 3 | 10111112 |
| As time | 2552 seconds = 42 min 32 s |
Is 2552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2552 ÷ 2 = 1276) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2552 ÷ 4 = 638) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (2552 ÷ 8 = 319) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (2552 ÷ 11 = 232) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2552 a prime number?
No. 2552 = × 11 × 29, so it is divisible by 2.
What are the factors of 2552?
1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 1276, 2552.
What is 2552 in binary?
100111111000 (hexadecimal 9F8, octal 4770).
What is the square root of 2552?
About 50.5173, exactly 2√638.
What is 2552 in Roman numerals?
MMDLII.
Is 2552 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 2552?
2552 is a palindrome: it reads 2552 backwards too.