The number 35552
35552 is a composite number with 24 divisors. Its prime factorisation is × 11 × 101. Divisors (24): 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 101, 176, 202, 352, 404, 808 … 35552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35552 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35552 is composite. Its prime factorisation is
- 3
The divisors add up to 77112; without 35552 itself that is 41560, so 35552 is abundant (41560 is more than 35552). Euler's totient φ(35552) = 16000 numbers up to 35552 share no factor with it.
- 4
The digits of 35552 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35552 = 2^{5} \times 11 \times 101 \]35552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 77112 |
| Euler totient φ(n) | 16000 |
| Square | 1263944704 |
| Cube | 44935762116608 |
| Square root | 188.552380 (= 4√2222) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.5552 × |
35552 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand five hundred and fifty-two |
| Binary (base 2) | 1000101011100000 |
| Octal (base 8) | 105340 |
| Hexadecimal (base 16) | 8AE0 |
| Base 3 | 1210202202 |
| As time | 35552 seconds = 9 h 52 min 32 s |
Is 35552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35552 ÷ 2 = 17776) | 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 (35552 ÷ 4 = 8888) | 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 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 (35552 ÷ 8 = 4444) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 (35552 ÷ 11 = 3232) | 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 35552 a prime number?
No. 35552 = × 11 × 101, so it is divisible by 2.
What are the factors of 35552?
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 101, 176, 202, 352, 404, 808, 1111, 1616, 2222, 3232, 4444, 8888, 17776, 35552.
What is 35552 in binary?
1000101011100000 (hexadecimal 8AE0, octal 105340).
What is the square root of 35552?
About 188.5524, exactly 4√2222.
Is 35552 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 35552?
It is a composite number with 24 divisors.