The number 16360
16360 is a composite number with 16 divisors. Its prime factorisation is × 5 × 409. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 409, 818, 1636, 2045, 3272, 4090, 8180, 16360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16360: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16360 is composite. Its prime factorisation is
- 3
The divisors add up to 36900; without 16360 itself that is 20540, so 16360 is abundant (20540 is more than 16360). Euler's totient φ(16360) = 6528 numbers up to 16360 share no factor with it.
- 4
The digits of 16360 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16360 = 2^{3} \times 5 \times 409 \]16360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 36900 |
| Euler totient φ(n) | 6528 |
| Square | 267649600 |
| Cube | 4378747456000 |
| Square root | 127.906216 (= 2√4090) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.636 × |
16360 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and sixty |
| Binary (base 2) | 11111111101000 |
| Octal (base 8) | 37750 |
| Hexadecimal (base 16) | 3FE8 |
| Base 3 | 211102221 |
| As time | 16360 seconds = 4 h 32 min 40 s |
Is 16360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16360 ÷ 2 = 8180) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16360 ÷ 4 = 4090) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16360 ÷ 5 = 3272) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (16360 ÷ 8 = 2045) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16360 ÷ 10 = 1636) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16360 a prime number?
No. 16360 = × 5 × 409, so it is divisible by 2.
What are the factors of 16360?
1, 2, 4, 5, 8, 10, 20, 40, 409, 818, 1636, 2045, 3272, 4090, 8180, 16360.
What is 16360 in binary?
11111111101000 (hexadecimal 3FE8, octal 37750).
What is the square root of 16360?
About 127.9062, exactly 2√4090.
Is 16360 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 16360?
16360 is a happy number: repeatedly adding the squares of its digits reaches 1.