The number 35320
35320 is a composite number with 16 divisors. Its prime factorisation is × 5 × 883. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 883, 1766, 3532, 4415, 7064, 8830, 17660, 35320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35320 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35320 is composite. Its prime factorisation is
- 3
The divisors add up to 79560; without 35320 itself that is 44240, so 35320 is abundant (44240 is more than 35320). Euler's totient φ(35320) = 14112 numbers up to 35320 share no factor with it.
- 4
The digits of 35320 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 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35320 = 2^{3} \times 5 \times 883 \]35320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79560 |
| Euler totient φ(n) | 14112 |
| Square | 1247502400 |
| Cube | 44061784768000 |
| Square root | 187.936159 (= 2√8830) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.532 × |
35320 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand three hundred and twenty |
| Binary (base 2) | 1000100111111000 |
| Octal (base 8) | 104770 |
| Hexadecimal (base 16) | 89F8 |
| Base 3 | 1210110011 |
| As time | 35320 seconds = 9 h 48 min 40 s |
Is 35320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35320 ÷ 2 = 17660) | 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 (35320 ÷ 4 = 8830) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35320 ÷ 5 = 7064) | 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 (35320 ÷ 8 = 4415) | 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 | Yes (35320 ÷ 10 = 3532) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 35320 a prime number?
No. 35320 = × 5 × 883, so it is divisible by 2.
What are the factors of 35320?
1, 2, 4, 5, 8, 10, 20, 40, 883, 1766, 3532, 4415, 7064, 8830, 17660, 35320.
What is 35320 in binary?
1000100111111000 (hexadecimal 89F8, octal 104770).
What is the square root of 35320?
About 187.9362, exactly 2√8830.
Is 35320 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 35320?
It is a composite number with 16 divisors.