The number 10552
10552 is a composite number with 8 divisors. Its prime factorisation is × 1319. Divisors (8): 1, 2, 4, 8, 1319, 2638, 5276, 10552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10552 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10552 is composite. Its prime factorisation is
- 3
The divisors add up to 19800; without 10552 itself that is 9248, so 10552 is deficient (9248 is less than 10552). Euler's totient φ(10552) = 5272 numbers up to 10552 share no factor with it.
- 4
The digits of 10552 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10552 = 2^{3} \times 1319 \]10552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19800 |
| Euler totient φ(n) | 5272 |
| Square | 111344704 |
| Cube | 1174909316608 |
| Square root | 102.722928 (= 2√2638) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 148 |
| Scientific notation | 1.0552 × |
10552 in other forms
| Form | Value |
|---|---|
| In words | ten thousand five hundred and fifty-two |
| Binary (base 2) | 10100100111000 |
| Octal (base 8) | 24470 |
| Hexadecimal (base 16) | 2938 |
| Base 3 | 112110211 |
| As time | 10552 seconds = 2 h 55 min 52 s |
Is 10552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10552 ÷ 2 = 5276) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (10552 ÷ 4 = 2638) | 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 4) | 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 (10552 ÷ 8 = 1319) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10552 a prime number?
No. 10552 = × 1319, so it is divisible by 2.
What are the factors of 10552?
1, 2, 4, 8, 1319, 2638, 5276, 10552.
What is 10552 in binary?
10100100111000 (hexadecimal 2938, octal 24470).
What is the square root of 10552?
About 102.7229, exactly 2√2638.
Is 10552 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 10552?
It is a composite number with 8 divisors.