The number 47220
47220 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 787. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 787, 1574, 2361, 3148 … 47220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47220: a Harshad number: divisible by its digit sum 15.
- 2
47220 is composite. Its prime factorisation is
- 3
The divisors add up to 132384; without 47220 itself that is 85164, so 47220 is abundant (85164 is more than 47220). Euler's totient φ(47220) = 12576 numbers up to 47220 share no factor with it.
- 4
The digits of 47220 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47220 = 2^{2} \times 3 \times 5 \times 787 \]47220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 132384 |
| Euler totient φ(n) | 12576 |
| Square | 2229728400 |
| Cube | 105287775048000 |
| Square root | 217.301634 (= 2√11805) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.722 × |
47220 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and twenty |
| Binary (base 2) | 1011100001110100 |
| Octal (base 8) | 134164 |
| Hexadecimal (base 16) | B874 |
| Base 3 | 2101202220 |
| As time | 47220 seconds = 13 h 7 min 0 s |
Is 47220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47220 ÷ 2 = 23610) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47220 ÷ 3 = 15740) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47220 ÷ 4 = 11805) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47220 ÷ 5 = 9444) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47220 ÷ 6 = 7870) | 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 | No (remainder 4) | 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 | Yes (47220 ÷ 10 = 4722) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47220 ÷ 12 = 3935) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47220 a prime number?
No. 47220 = × 3 × 5 × 787, so it is divisible by 2.
What are the factors of 47220?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 787, 1574, 2361, 3148, 3935, 4722, 7870, 9444, 11805, 15740, 23610, 47220.
What is 47220 in binary?
1011100001110100 (hexadecimal B874, octal 134164).
What is the square root of 47220?
About 217.3016, exactly 2√11805.
Is 47220 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 47220?
47220 is a Harshad number: divisible by its digit sum 15.