The number 35724
35724 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 229. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 229, 458, 687, 916 … 35724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35724: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
35724 is composite. Its prime factorisation is
- 3
The divisors add up to 90160; without 35724 itself that is 54436, so 35724 is abundant (54436 is more than 35724). Euler's totient φ(35724) = 10944 numbers up to 35724 share no factor with it.
- 4
The digits of 35724 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35724 = 2^{2} \times 3 \times 13 \times 229 \]35724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 90160 |
| Euler totient φ(n) | 10944 |
| Square | 1276204176 |
| Cube | 45591117983424 |
| Square root | 189.007936 (= 2√8931) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.5724 × |
35724 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand seven hundred and twenty-four |
| Binary (base 2) | 1000101110001100 |
| Octal (base 8) | 105614 |
| Hexadecimal (base 16) | 8B8C |
| Base 3 | 1211000010 |
| As time | 35724 seconds = 9 h 55 min 24 s |
Is 35724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35724 ÷ 2 = 17862) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35724 ÷ 3 = 11908) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35724 ÷ 4 = 8931) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (35724 ÷ 6 = 5954) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35724 ÷ 12 = 2977) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35724 a prime number?
No. 35724 = × 3 × 13 × 229, so it is divisible by 2.
What are the factors of 35724?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 229, 458, 687, 916, 1374, 2748, 2977, 5954, 8931, 11908, 17862, 35724.
What is 35724 in binary?
1000101110001100 (hexadecimal 8B8C, octal 105614).
What is the square root of 35724?
About 189.0079, exactly 2√8931.
Is 35724 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 35724?
35724 is a happy number: repeatedly adding the squares of its digits reaches 1.