The number 62080
62080 is a composite number with 32 divisors. Its prime factorisation is × 5 × 97. Divisors (32): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 97, 128, 160, 194 … 62080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62080: a Harshad number: divisible by its digit sum 16.
- 2
62080 is composite. Its prime factorisation is
- 3
The divisors add up to 149940; without 62080 itself that is 87860, so 62080 is abundant (87860 is more than 62080). Euler's totient φ(62080) = 24576 numbers up to 62080 share no factor with it.
- 4
The digits of 62080 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 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62080 = 2^{7} \times 5 \times 97 \]62080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 149940 |
| Euler totient φ(n) | 24576 |
| Square | 3853926400 |
| Cube | 239251750912000 |
| Square root | 249.158584 (= 8√970) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 104 |
| Scientific notation | 6.208 × |
62080 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand and eighty |
| Binary (base 2) | 1111001010000000 |
| Octal (base 8) | 171200 |
| Hexadecimal (base 16) | F280 |
| Base 3 | 10011011021 |
| As time | 62080 seconds = 17 h 14 min 40 s |
Is 62080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62080 ÷ 2 = 31040) | 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 (62080 ÷ 4 = 15520) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (62080 ÷ 5 = 12416) | 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 4) | 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 (62080 ÷ 8 = 7760) | 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 (62080 ÷ 10 = 6208) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 62080 a prime number?
No. 62080 = × 5 × 97, so it is divisible by 2.
What are the factors of 62080?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 97, 128, 160, 194, 320, 388, 485, 640, 776, 970, 1552, 1940, 3104, 3880, 6208, 7760, 12416, 15520, 31040, 62080.
What is 62080 in binary?
1111001010000000 (hexadecimal F280, octal 171200).
What is the square root of 62080?
About 249.1586, exactly 8√970.
Is 62080 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 62080?
62080 is a Harshad number: divisible by its digit sum 16.