The number 47670
47670 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 7 × 227. Divisors (32): 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210 … 47670.
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How to work it out
- 1
47670 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47670 is composite. Its prime factorisation is
- 3
The divisors add up to 131328; without 47670 itself that is 83658, so 47670 is abundant (83658 is more than 47670). Euler's totient φ(47670) = 10848 numbers up to 47670 share no factor with it.
- 4
The digits of 47670 add up to 24, 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
\[ 47670 = 2 \times 3 \times 5 \times 7 \times 227 \]
47670 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 131328 |
| Euler totient φ(n) | 10848 |
| Square | 2272428900 |
| Cube | 108326685663000 |
| Square root | 218.334606 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.767 × |
47670 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and seventy |
| Binary (base 2) | 1011101000110110 |
| Octal (base 8) | 135066 |
| Hexadecimal (base 16) | BA36 |
| Base 3 | 2102101120 |
| As time | 47670 seconds = 13 h 14 min 30 s |
Is 47670 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47670 ÷ 2 = 23835) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47670 ÷ 3 = 15890) | 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 (47670 ÷ 5 = 9534) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47670 ÷ 6 = 7945) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47670 ÷ 7 = 6810) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47670 ÷ 10 = 4767) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47670 a prime number?
No. 47670 = 2 × 3 × 5 × 7 × 227, so it is divisible by 2.
What are the factors of 47670?
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 227, 454, 681, 1135, 1362, 1589, 2270, 3178, 3405, 4767, 6810, 7945, 9534, 15890, 23835, 47670.
What is 47670 in binary?
1011101000110110 (hexadecimal BA36, octal 135066).
What is the square root of 47670?
About 218.3346.
Is 47670 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47670?
It is a composite number with 32 divisors.