The number 62200
62200 is a composite number with 24 divisors. Its prime factorisation is × × 311. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 311, 622, 1244, 1555 … 62200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62200: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.
- 2
62200 is composite. Its prime factorisation is
- 3
The divisors add up to 145080; without 62200 itself that is 82880, so 62200 is abundant (82880 is more than 62200). Euler's totient φ(62200) = 24800 numbers up to 62200 share no factor with it.
- 4
The digits of 62200 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62200 = 2^{3} \times 5^{2} \times 311 \]62200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 145080 |
| Euler totient φ(n) | 24800 |
| Square | 3868840000 |
| Cube | 240641848000000 |
| Square root | 249.399278 (= 10√622) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.22 × |
62200 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand two hundred |
| Binary (base 2) | 1111001011111000 |
| Octal (base 8) | 171370 |
| Hexadecimal (base 16) | F2F8 |
| Base 3 | 10011022201 |
| As time | 62200 seconds = 17 h 16 min 40 s |
Is 62200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62200 ÷ 2 = 31100) | 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 (62200 ÷ 4 = 15550) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (62200 ÷ 5 = 12440) | 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 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 (62200 ÷ 8 = 7775) | 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 (62200 ÷ 10 = 6220) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62200 a prime number?
No. 62200 = × × 311, so it is divisible by 2.
What are the factors of 62200?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 311, 622, 1244, 1555, 2488, 3110, 6220, 7775, 12440, 15550, 31100, 62200.
What is 62200 in binary?
1111001011111000 (hexadecimal F2F8, octal 171370).
What is the square root of 62200?
About 249.3993, exactly 10√622.
Is 62200 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 62200?
62200 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.