The number 47412
47412 is a composite number with 24 divisors. Its prime factorisation is × × 439. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 439, 878, 1317, 1756 … 47412.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47412: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
47412 is composite. Its prime factorisation is
- 3
The divisors add up to 123200; without 47412 itself that is 75788, so 47412 is abundant (75788 is more than 47412). Euler's totient φ(47412) = 15768 numbers up to 47412 share no factor with it.
- 4
The digits of 47412 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47412 = 2^{2} \times 3^{3} \times 439 \]47412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 123200 |
| Euler totient φ(n) | 15768 |
| Square | 2247897744 |
| Cube | 106577327838528 |
| Square root | 217.742968 (= 6√1317) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.7412 × |
47412 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and twelve |
| Binary (base 2) | 1011100100110100 |
| Octal (base 8) | 134464 |
| Hexadecimal (base 16) | B934 |
| Base 3 | 2102001000 |
| As time | 47412 seconds = 13 h 10 min 12 s |
Is 47412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47412 ÷ 2 = 23706) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47412 ÷ 3 = 15804) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47412 ÷ 4 = 11853) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47412 ÷ 6 = 7902) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (47412 ÷ 9 = 5268) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47412 ÷ 12 = 3951) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47412 a prime number?
No. 47412 = × × 439, so it is divisible by 2.
What are the factors of 47412?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 439, 878, 1317, 1756, 2634, 3951, 5268, 7902, 11853, 15804, 23706, 47412.
What is 47412 in binary?
1011100100110100 (hexadecimal B934, octal 134464).
What is the square root of 47412?
About 217.7430, exactly 6√1317.
Is 47412 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47412?
47412 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.