The number 35672
35672 is a composite number with 32 divisors. Its prime factorisation is × × 13. Divisors (32): 1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182 … 35672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35672 is composite. Its prime factorisation is
- 3
The divisors add up to 84000; without 35672 itself that is 48328, so 35672 is abundant (48328 is more than 35672). Euler's totient φ(35672) = 14112 numbers up to 35672 share no factor with it.
- 4
The digits of 35672 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35672 = 2^{3} \times 7^{3} \times 13 \]35672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 84000 |
| Euler totient φ(n) | 14112 |
| Square | 1272491584 |
| Cube | 45392319784448 |
| Square root | 188.870326 (= 14√182) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.5672 × |
35672 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand six hundred and seventy-two |
| Binary (base 2) | 1000101101011000 |
| Octal (base 8) | 105530 |
| Hexadecimal (base 16) | 8B58 |
| Base 3 | 1210221012 |
| As time | 35672 seconds = 9 h 54 min 32 s |
Is 35672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35672 ÷ 2 = 17836) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35672 ÷ 4 = 8918) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (35672 ÷ 7 = 5096) | 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 (35672 ÷ 8 = 4459) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35672 a prime number?
No. 35672 = × × 13, so it is divisible by 2.
What are the factors of 35672?
1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182, 196, 343, 364, 392, 637, 686, 728, 1274, 1372, 2548, 2744, 4459, 5096, 8918, 17836, 35672.
What is 35672 in binary?
1000101101011000 (hexadecimal 8B58, octal 105530).
What is the square root of 35672?
About 188.8703, exactly 14√182.
Is 35672 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 35672?
It is a composite number with 32 divisors.