The number 62088
62088 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 199. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 199 … 62088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62088: a Harshad number: divisible by its digit sum 24.
- 2
62088 is composite. Its prime factorisation is
- 3
The divisors add up to 168000; without 62088 itself that is 105912, so 62088 is abundant (105912 is more than 62088). Euler's totient φ(62088) = 19008 numbers up to 62088 share no factor with it.
- 4
The digits of 62088 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62088 = 2^{3} \times 3 \times 13 \times 199 \]62088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 168000 |
| Euler totient φ(n) | 19008 |
| Square | 3854919744 |
| Cube | 239344257065472 |
| Square root | 249.174638 (= 2√15522) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.2088 × |
62088 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand and eighty-eight |
| Binary (base 2) | 1111001010001000 |
| Octal (base 8) | 171210 |
| Hexadecimal (base 16) | F288 |
| Base 3 | 10011011120 |
| As time | 62088 seconds = 17 h 14 min 48 s |
Is 62088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62088 ÷ 2 = 31044) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (62088 ÷ 3 = 20696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (62088 ÷ 4 = 15522) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (62088 ÷ 6 = 10348) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (62088 ÷ 8 = 7761) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (62088 ÷ 12 = 5174) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62088 a prime number?
No. 62088 = × 3 × 13 × 199, so it is divisible by 2.
What are the factors of 62088?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 199, 312, 398, 597, 796, 1194, 1592, 2388, 2587, 4776, 5174, 7761, 10348, 15522, 20696, 31044, 62088.
What is 62088 in binary?
1111001010001000 (hexadecimal F288, octal 171210).
What is the square root of 62088?
About 249.1746, exactly 2√15522.
Is 62088 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 62088?
62088 is a Harshad number: divisible by its digit sum 24.