The number 35360
35360 is a composite number with 48 divisors. Its prime factorisation is × 5 × 13 × 17. Divisors (48): 1, 2, 4, 5, 8, 10, 13, 16, 17, 20, 26, 32, 34, 40, 52, 65 … 35360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35360: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.
- 2
35360 is composite. Its prime factorisation is
- 3
The divisors add up to 95256; without 35360 itself that is 59896, so 35360 is abundant (59896 is more than 35360). Euler's totient φ(35360) = 12288 numbers up to 35360 share no factor with it.
- 4
The digits of 35360 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35360 = 2^{5} \times 5 \times 13 \times 17 \]35360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 95256 |
| Euler totient φ(n) | 12288 |
| Square | 1250329600 |
| Cube | 44211654656000 |
| Square root | 188.042548 (= 4√2210) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.536 × |
35360 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand three hundred and sixty |
| Binary (base 2) | 1000101000100000 |
| Octal (base 8) | 105040 |
| Hexadecimal (base 16) | 8A20 |
| Base 3 | 1210111122 |
| As time | 35360 seconds = 9 h 49 min 20 s |
Is 35360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35360 ÷ 2 = 17680) | 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 (35360 ÷ 4 = 8840) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35360 ÷ 5 = 7072) | 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 3) | 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 (35360 ÷ 8 = 4420) | 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 (35360 ÷ 10 = 3536) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 35360 a prime number?
No. 35360 = × 5 × 13 × 17, so it is divisible by 2.
What are the factors of 35360?
1, 2, 4, 5, 8, 10, 13, 16, 17, 20, 26, 32, 34, 40, 52, 65, 68, 80, 85, 104, 130, 136, 160, 170, 208, 221, 260, 272, 340, 416, 442, 520, 544, 680, 884, 1040, 1105, 1360, 1768, 2080, 2210, 2720, 3536, 4420, 7072, 8840, 17680, 35360.
What is 35360 in binary?
1000101000100000 (hexadecimal 8A20, octal 105040).
What is the square root of 35360?
About 188.0425, exactly 4√2210.
Is 35360 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 35360?
35360 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.