The number 35616
35616 is a composite number with 48 divisors. Its prime factorisation is × 3 × 7 × 53. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48 … 35616.
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How to work it out
- 1
What is special about 35616: a Harshad number: divisible by its digit sum 21.
- 2
35616 is composite. Its prime factorisation is
- 3
The divisors add up to 108864; without 35616 itself that is 73248, so 35616 is abundant (73248 is more than 35616). Euler's totient φ(35616) = 9984 numbers up to 35616 share no factor with it.
- 4
The digits of 35616 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35616 = 2^{5} \times 3 \times 7 \times 53 \]35616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 108864 |
| Euler totient φ(n) | 9984 |
| Square | 1268499456 |
| Cube | 45178876624896 |
| Square root | 188.722018 (= 4√2226) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5616 × |
35616 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand six hundred and sixteen |
| Binary (base 2) | 1000101100100000 |
| Octal (base 8) | 105440 |
| Hexadecimal (base 16) | 8B20 |
| Base 3 | 1210212010 |
| As time | 35616 seconds = 9 h 53 min 36 s |
Is 35616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35616 ÷ 2 = 17808) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35616 ÷ 3 = 11872) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35616 ÷ 4 = 8904) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (35616 ÷ 6 = 5936) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (35616 ÷ 7 = 5088) | 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 (35616 ÷ 8 = 4452) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 (35616 ÷ 12 = 2968) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35616 a prime number?
No. 35616 = × 3 × 7 × 53, so it is divisible by 2.
What are the factors of 35616?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 53, 56, 84, 96, 106, 112, 159, 168, 212, 224, 318, 336, 371, 424, 636, 672, 742, 848, 1113, 1272, 1484, 1696, 2226, 2544, 2968, 4452, 5088, 5936, 8904, 11872, 17808, 35616.
What is 35616 in binary?
1000101100100000 (hexadecimal 8B20, octal 105440).
What is the square root of 35616?
About 188.7220, exactly 4√2226.
Is 35616 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 35616?
35616 is a Harshad number: divisible by its digit sum 21.