The number 62220
62220 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 17 × 61. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 61 … 62220.
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How to work it out
- 1
What is special about 62220: a Harshad number: divisible by its digit sum 12.
- 2
62220 is composite. Its prime factorisation is
- 3
The divisors add up to 187488; without 62220 itself that is 125268, so 62220 is abundant (125268 is more than 62220). Euler's totient φ(62220) = 15360 numbers up to 62220 share no factor with it.
- 4
The digits of 62220 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62220 = 2^{2} \times 3 \times 5 \times 17 \times 61 \]62220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 187488 |
| Euler totient φ(n) | 15360 |
| Square | 3871328400 |
| Cube | 240874053048000 |
| Square root | 249.439371 (= 2√15555) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.222 × |
62220 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand two hundred and twenty |
| Binary (base 2) | 1111001100001100 |
| Octal (base 8) | 171414 |
| Hexadecimal (base 16) | F30C |
| Base 3 | 10011100110 |
| As time | 62220 seconds = 17 h 17 min 0 s |
Is 62220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62220 ÷ 2 = 31110) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (62220 ÷ 3 = 20740) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (62220 ÷ 4 = 15555) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (62220 ÷ 5 = 12444) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (62220 ÷ 6 = 10370) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (62220 ÷ 10 = 6222) | 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 (62220 ÷ 12 = 5185) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62220 a prime number?
No. 62220 = × 3 × 5 × 17 × 61, so it is divisible by 2.
What are the factors of 62220?
1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 61, 68, 85, 102, 122, 170, 183, 204, 244, 255, 305, 340, 366, 510, 610, 732, 915, 1020, 1037, 1220, 1830, 2074, 3111, 3660, 4148, 5185, 6222, 10370, 12444, 15555, 20740, 31110, 62220.
What is 62220 in binary?
1111001100001100 (hexadecimal F30C, octal 171414).
What is the square root of 62220?
About 249.4394, exactly 2√15555.
Is 62220 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 62220?
62220 is a Harshad number: divisible by its digit sum 12.