The number 35500
35500 is a composite number with 24 divisors. Its prime factorisation is × × 71. Divisors (24): 1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 125, 142, 250, 284, 355, 500 … 35500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35500 is composite. Its prime factorisation is
- 3
The divisors add up to 78624; without 35500 itself that is 43124, so 35500 is abundant (43124 is more than 35500). Euler's totient φ(35500) = 14000 numbers up to 35500 share no factor with it.
- 4
The digits of 35500 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35500 = 2^{2} \times 5^{3} \times 71 \]35500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 78624 |
| Euler totient φ(n) | 14000 |
| Square | 1260250000 |
| Cube | 44738875000000 |
| Square root | 188.414437 (= 10√355) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.55 × |
35500 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand five hundred |
| Binary (base 2) | 1000101010101100 |
| Octal (base 8) | 105254 |
| Hexadecimal (base 16) | 8AAC |
| Base 3 | 1210200211 |
| As time | 35500 seconds = 9 h 51 min 40 s |
Is 35500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35500 ÷ 2 = 17750) | 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 (35500 ÷ 4 = 8875) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35500 ÷ 5 = 7100) | 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 | No (remainder 4) | 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 (35500 ÷ 10 = 3550) | 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 35500 a prime number?
No. 35500 = × × 71, so it is divisible by 2.
What are the factors of 35500?
1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 125, 142, 250, 284, 355, 500, 710, 1420, 1775, 3550, 7100, 8875, 17750, 35500.
What is 35500 in binary?
1000101010101100 (hexadecimal 8AAC, octal 105254).
What is the square root of 35500?
About 188.4144, exactly 10√355.
Is 35500 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 35500?
It is a composite number with 24 divisors.