The number 35332
35332 is a composite number with 18 divisors. Its prime factorisation is × × 73. Divisors (18): 1, 2, 4, 11, 22, 44, 73, 121, 146, 242, 292, 484, 803, 1606, 3212, 8833 … 35332.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35332 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35332 is composite. Its prime factorisation is
- 3
The divisors add up to 68894; without 35332 itself that is 33562, so 35332 is deficient (33562 is less than 35332). Euler's totient φ(35332) = 15840 numbers up to 35332 share no factor with it.
- 4
The digits of 35332 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35332 = 2^{2} \times 11^{2} \times 73 \]35332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 68894 |
| Euler totient φ(n) | 15840 |
| Square | 1248350224 |
| Cube | 44106710114368 |
| Square root | 187.968082 (= 22√73) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5332 × |
35332 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand three hundred and thirty-two |
| Binary (base 2) | 1000101000000100 |
| Octal (base 8) | 105004 |
| Hexadecimal (base 16) | 8A04 |
| Base 3 | 1210110121 |
| As time | 35332 seconds = 9 h 48 min 52 s |
Is 35332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35332 ÷ 2 = 17666) | 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 (35332 ÷ 4 = 8833) | 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 | 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 7) | 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 | Yes (35332 ÷ 11 = 3212) | 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 35332 a prime number?
No. 35332 = × × 73, so it is divisible by 2.
What are the factors of 35332?
1, 2, 4, 11, 22, 44, 73, 121, 146, 242, 292, 484, 803, 1606, 3212, 8833, 17666, 35332.
What is 35332 in binary?
1000101000000100 (hexadecimal 8A04, octal 105004).
What is the square root of 35332?
About 187.9681, exactly 22√73.
Is 35332 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 35332?
It is a composite number with 18 divisors.