The number 35488
35488 is a composite number with 12 divisors. Its prime factorisation is × 1109. Divisors (12): 1, 2, 4, 8, 16, 32, 1109, 2218, 4436, 8872, 17744, 35488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35488 is composite. Its prime factorisation is
- 3
The divisors add up to 69930; without 35488 itself that is 34442, so 35488 is deficient (34442 is less than 35488). Euler's totient φ(35488) = 17728 numbers up to 35488 share no factor with it.
- 4
The digits of 35488 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35488 = 2^{5} \times 1109 \]35488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 69930 |
| Euler totient φ(n) | 17728 |
| Square | 1259398144 |
| Cube | 44693521334272 |
| Square root | 188.382589 (= 4√2218) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 23 |
| Scientific notation | 3.5488 × |
35488 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand four hundred and eighty-eight |
| Binary (base 2) | 1000101010100000 |
| Octal (base 8) | 105240 |
| Hexadecimal (base 16) | 8AA0 |
| Base 3 | 1210200101 |
| As time | 35488 seconds = 9 h 51 min 28 s |
Is 35488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35488 ÷ 2 = 17744) | 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 (35488 ÷ 4 = 8872) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 (35488 ÷ 8 = 4436) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35488 a prime number?
No. 35488 = × 1109, so it is divisible by 2.
What are the factors of 35488?
1, 2, 4, 8, 16, 32, 1109, 2218, 4436, 8872, 17744, 35488.
What is 35488 in binary?
1000101010100000 (hexadecimal 8AA0, octal 105240).
What is the square root of 35488?
About 188.3826, exactly 4√2218.
Is 35488 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 35488?
It is a composite number with 12 divisors.