The number 16480
16480 is a composite number with 24 divisors. Its prime factorisation is × 5 × 103. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 103, 160, 206, 412, 515 … 16480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16480 is composite. Its prime factorisation is
- 3
The divisors add up to 39312; without 16480 itself that is 22832, so 16480 is abundant (22832 is more than 16480). Euler's totient φ(16480) = 6528 numbers up to 16480 share no factor with it.
- 4
The digits of 16480 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16480 = 2^{5} \times 5 \times 103 \]16480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 39312 |
| Euler totient φ(n) | 6528 |
| Square | 271590400 |
| Cube | 4475809792000 |
| Square root | 128.374452 (= 4√1030) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.648 × |
16480 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and eighty |
| Binary (base 2) | 100000001100000 |
| Octal (base 8) | 40140 |
| Hexadecimal (base 16) | 4060 |
| Base 3 | 211121101 |
| As time | 16480 seconds = 4 h 34 min 40 s |
Is 16480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16480 ÷ 2 = 8240) | 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 (16480 ÷ 4 = 4120) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16480 ÷ 5 = 3296) | 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 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 (16480 ÷ 8 = 2060) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16480 ÷ 10 = 1648) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 16480 a prime number?
No. 16480 = × 5 × 103, so it is divisible by 2.
What are the factors of 16480?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 103, 160, 206, 412, 515, 824, 1030, 1648, 2060, 3296, 4120, 8240, 16480.
What is 16480 in binary?
100000001100000 (hexadecimal 4060, octal 40140).
What is the square root of 16480?
About 128.3745, exactly 4√1030.
Is 16480 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 16480?
It is a composite number with 24 divisors.