The number 47470
47470 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 47 × 101. Divisors (16): 1, 2, 5, 10, 47, 94, 101, 202, 235, 470, 505, 1010, 4747, 9494, 23735, 47470.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47470: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47470 is composite. Its prime factorisation is
- 3
The divisors add up to 88128; without 47470 itself that is 40658, so 47470 is deficient (40658 is less than 47470). Euler's totient φ(47470) = 18400 numbers up to 47470 share no factor with it.
- 4
The digits of 47470 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47470 = 2 \times 5 \times 47 \times 101 \]
47470 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 88128 |
| Euler totient φ(n) | 18400 |
| Square | 2253400900 |
| Cube | 106968940723000 |
| Square root | 217.876112 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.747 × |
47470 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and seventy |
| Binary (base 2) | 1011100101101110 |
| Octal (base 8) | 134556 |
| Hexadecimal (base 16) | B96E |
| Base 3 | 2102010011 |
| As time | 47470 seconds = 13 h 11 min 10 s |
Is 47470 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47470 ÷ 2 = 23735) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47470 ÷ 5 = 9494) | 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 3) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47470 ÷ 10 = 4747) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47470 a prime number?
No. 47470 = 2 × 5 × 47 × 101, so it is divisible by 2.
What are the factors of 47470?
1, 2, 5, 10, 47, 94, 101, 202, 235, 470, 505, 1010, 4747, 9494, 23735, 47470.
What is 47470 in binary?
1011100101101110 (hexadecimal B96E, octal 134556).
What is the square root of 47470?
About 217.8761.
Is 47470 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 47470?
47470 is a happy number: repeatedly adding the squares of its digits reaches 1.