The number 35604
35604 is a composite number with 36 divisors. Its prime factorisation is × × 23 × 43. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 43, 46, 69, 86, 92, 129 … 35604.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35604: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
35604 is composite. Its prime factorisation is
- 3
The divisors add up to 96096; without 35604 itself that is 60492, so 35604 is abundant (60492 is more than 35604). Euler's totient φ(35604) = 11088 numbers up to 35604 share no factor with it.
- 4
The digits of 35604 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35604 = 2^{2} \times 3^{2} \times 23 \times 43 \]35604 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 96096 |
| Euler totient φ(n) | 11088 |
| Square | 1267644816 |
| Cube | 45133226028864 |
| Square root | 188.690222 (= 6√989) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5604 × |
35604 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand six hundred and four |
| Binary (base 2) | 1000101100010100 |
| Octal (base 8) | 105424 |
| Hexadecimal (base 16) | 8B14 |
| Base 3 | 1210211200 |
| As time | 35604 seconds = 9 h 53 min 24 s |
Is 35604 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35604 ÷ 2 = 17802) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35604 ÷ 3 = 11868) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35604 ÷ 4 = 8901) | 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 (35604 ÷ 6 = 5934) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (35604 ÷ 9 = 3956) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35604 ÷ 12 = 2967) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35604 a prime number?
No. 35604 = × × 23 × 43, so it is divisible by 2.
What are the factors of 35604?
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 43, 46, 69, 86, 92, 129, 138, 172, 207, 258, 276, 387, 414, 516, 774, 828, 989, 1548, 1978, 2967, 3956, 5934, 8901, 11868, 17802, 35604.
What is 35604 in binary?
1000101100010100 (hexadecimal 8B14, octal 105424).
What is the square root of 35604?
About 188.6902, exactly 6√989.
Is 35604 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 35604?
35604 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.