The number 33560
33560 is a composite number with 16 divisors. Its prime factorisation is × 5 × 839. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 839, 1678, 3356, 4195, 6712, 8390, 16780, 33560.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33560: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33560 is composite. Its prime factorisation is
- 3
The divisors add up to 75600; without 33560 itself that is 42040, so 33560 is abundant (42040 is more than 33560). Euler's totient φ(33560) = 13408 numbers up to 33560 share no factor with it.
- 4
The digits of 33560 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33560 = 2^{3} \times 5 \times 839 \]33560 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 75600 |
| Euler totient φ(n) | 13408 |
| Square | 1126273600 |
| Cube | 37797742016000 |
| Square root | 183.193886 (= 2√8390) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.356 × |
33560 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand five hundred and sixty |
| Binary (base 2) | 1000001100011000 |
| Octal (base 8) | 101430 |
| Hexadecimal (base 16) | 8318 |
| Base 3 | 1201000222 |
| As time | 33560 seconds = 9 h 19 min 20 s |
Is 33560 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33560 ÷ 2 = 16780) | 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 (33560 ÷ 4 = 8390) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33560 ÷ 5 = 6712) | 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 | 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 | Yes (33560 ÷ 8 = 4195) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33560 ÷ 10 = 3356) | 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 33560 a prime number?
No. 33560 = × 5 × 839, so it is divisible by 2.
What are the factors of 33560?
1, 2, 4, 5, 8, 10, 20, 40, 839, 1678, 3356, 4195, 6712, 8390, 16780, 33560.
What is 33560 in binary?
1000001100011000 (hexadecimal 8318, octal 101430).
What is the square root of 33560?
About 183.1939, exactly 2√8390.
Is 33560 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33560?
33560 is a happy number: repeatedly adding the squares of its digits reaches 1.