The number 35800
35800 is a composite number with 24 divisors. Its prime factorisation is × × 179. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 179, 200, 358, 716, 895 … 35800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35800 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35800 is composite. Its prime factorisation is
- 3
The divisors add up to 83700; without 35800 itself that is 47900, so 35800 is abundant (47900 is more than 35800). Euler's totient φ(35800) = 14240 numbers up to 35800 share no factor with it.
- 4
The digits of 35800 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35800 = 2^{3} \times 5^{2} \times 179 \]35800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 83700 |
| Euler totient φ(n) | 14240 |
| Square | 1281640000 |
| Cube | 45882712000000 |
| Square root | 189.208879 (= 10√358) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.58 × |
35800 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand eight hundred |
| Binary (base 2) | 1000101111011000 |
| Octal (base 8) | 105730 |
| Hexadecimal (base 16) | 8BD8 |
| Base 3 | 1211002221 |
| As time | 35800 seconds = 9 h 56 min 40 s |
Is 35800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35800 ÷ 2 = 17900) | 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 (35800 ÷ 4 = 8950) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35800 ÷ 5 = 7160) | 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 2) | 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 (35800 ÷ 8 = 4475) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (35800 ÷ 10 = 3580) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 35800 a prime number?
No. 35800 = × × 179, so it is divisible by 2.
What are the factors of 35800?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 179, 200, 358, 716, 895, 1432, 1790, 3580, 4475, 7160, 8950, 17900, 35800.
What is 35800 in binary?
1000101111011000 (hexadecimal 8BD8, octal 105730).
What is the square root of 35800?
About 189.2089, exactly 10√358.
Is 35800 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 35800?
It is a composite number with 24 divisors.