The number 35352
35352 is a composite number with 24 divisors. Its prime factorisation is × × 491. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 491, 982, 1473, 1964 … 35352.
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How to work it out
- 1
What is special about 35352: a Harshad number: divisible by its digit sum 18.
- 2
35352 is composite. Its prime factorisation is
- 3
The divisors add up to 95940; without 35352 itself that is 60588, so 35352 is abundant (60588 is more than 35352). Euler's totient φ(35352) = 11760 numbers up to 35352 share no factor with it.
- 4
The digits of 35352 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35352 = 2^{3} \times 3^{2} \times 491 \]35352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 95940 |
| Euler totient φ(n) | 11760 |
| Square | 1249763904 |
| Cube | 44181653534208 |
| Square root | 188.021275 (= 6√982) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5352 × |
35352 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand three hundred and fifty-two |
| Binary (base 2) | 1000101000011000 |
| Octal (base 8) | 105030 |
| Hexadecimal (base 16) | 8A18 |
| Base 3 | 1210111100 |
| As time | 35352 seconds = 9 h 49 min 12 s |
Is 35352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35352 ÷ 2 = 17676) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35352 ÷ 3 = 11784) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35352 ÷ 4 = 8838) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (35352 ÷ 6 = 5892) | 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 (35352 ÷ 8 = 4419) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (35352 ÷ 9 = 3928) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35352 ÷ 12 = 2946) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35352 a prime number?
No. 35352 = × × 491, so it is divisible by 2.
What are the factors of 35352?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 491, 982, 1473, 1964, 2946, 3928, 4419, 5892, 8838, 11784, 17676, 35352.
What is 35352 in binary?
1000101000011000 (hexadecimal 8A18, octal 105030).
What is the square root of 35352?
About 188.0213, exactly 6√982.
Is 35352 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 35352?
35352 is a Harshad number: divisible by its digit sum 18.