The number 47570
47570 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 67 × 71. Divisors (16): 1, 2, 5, 10, 67, 71, 134, 142, 335, 355, 670, 710, 4757, 9514, 23785, 47570.
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How to work it out
- 1
What is special about 47570: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47570 is composite. Its prime factorisation is
- 3
The divisors add up to 88128; without 47570 itself that is 40558, so 47570 is deficient (40558 is less than 47570). Euler's totient φ(47570) = 18480 numbers up to 47570 share no factor with it.
- 4
The digits of 47570 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 220 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47570 = 2 \times 5 \times 67 \times 71 \]
47570 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 88128 |
| Euler totient φ(n) | 18480 |
| Square | 2262904900 |
| Cube | 107646386093000 |
| Square root | 218.105479 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 220 |
| Scientific notation | 4.757 × |
47570 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred and seventy |
| Binary (base 2) | 1011100111010010 |
| Octal (base 8) | 134722 |
| Hexadecimal (base 16) | B9D2 |
| Base 3 | 2102020212 |
| As time | 47570 seconds = 13 h 12 min 50 s |
Is 47570 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47570 ÷ 2 = 23785) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47570 ÷ 5 = 9514) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47570 ÷ 10 = 4757) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47570 a prime number?
No. 47570 = 2 × 5 × 67 × 71, so it is divisible by 2.
What are the factors of 47570?
1, 2, 5, 10, 67, 71, 134, 142, 335, 355, 670, 710, 4757, 9514, 23785, 47570.
What is 47570 in binary?
1011100111010010 (hexadecimal B9D2, octal 134722).
What is the square root of 47570?
About 218.1055.
Is 47570 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47570?
47570 is a happy number: repeatedly adding the squares of its digits reaches 1.