The number 35952
35952 is a composite number with 40 divisors. Its prime factorisation is × 3 × 7 × 107. Divisors (40): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56 … 35952.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35952: a Harshad number: divisible by its digit sum 24.
- 2
35952 is composite. Its prime factorisation is
- 3
The divisors add up to 107136; without 35952 itself that is 71184, so 35952 is abundant (71184 is more than 35952). Euler's totient φ(35952) = 10176 numbers up to 35952 share no factor with it.
- 4
The digits of 35952 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35952 = 2^{4} \times 3 \times 7 \times 107 \]35952 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 107136 |
| Euler totient φ(n) | 10176 |
| Square | 1292546304 |
| Cube | 46469624721408 |
| Square root | 189.610126 (= 4√2247) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5952 × |
35952 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand nine hundred and fifty-two |
| Binary (base 2) | 1000110001110000 |
| Octal (base 8) | 106160 |
| Hexadecimal (base 16) | 8C70 |
| Base 3 | 1211022120 |
| As time | 35952 seconds = 9 h 59 min 12 s |
Is 35952 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35952 ÷ 2 = 17976) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35952 ÷ 3 = 11984) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35952 ÷ 4 = 8988) | 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 (35952 ÷ 6 = 5992) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (35952 ÷ 7 = 5136) | 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 (35952 ÷ 8 = 4494) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35952 ÷ 12 = 2996) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35952 a prime number?
No. 35952 = × 3 × 7 × 107, so it is divisible by 2.
What are the factors of 35952?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 107, 112, 168, 214, 321, 336, 428, 642, 749, 856, 1284, 1498, 1712, 2247, 2568, 2996, 4494, 5136, 5992, 8988, 11984, 17976, 35952.
What is 35952 in binary?
1000110001110000 (hexadecimal 8C70, octal 106160).
What is the square root of 35952?
About 189.6101, exactly 4√2247.
Is 35952 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 35952?
35952 is a Harshad number: divisible by its digit sum 24.