The number 47400
47400 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 79. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50 … 47400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47400: a Harshad number: divisible by its digit sum 15.
- 2
47400 is composite. Its prime factorisation is
- 3
The divisors add up to 148800; without 47400 itself that is 101400, so 47400 is abundant (101400 is more than 47400). Euler's totient φ(47400) = 12480 numbers up to 47400 share no factor with it.
- 4
The digits of 47400 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47400 = 2^{3} \times 3 \times 5^{2} \times 79 \]47400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 148800 |
| Euler totient φ(n) | 12480 |
| Square | 2246760000 |
| Cube | 106496424000000 |
| Square root | 217.715411 (= 10√474) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.74 × |
47400 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred |
| Binary (base 2) | 1011100100101000 |
| Octal (base 8) | 134450 |
| Hexadecimal (base 16) | B928 |
| Base 3 | 2102000120 |
| As time | 47400 seconds = 13 h 10 min 0 s |
Is 47400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47400 ÷ 2 = 23700) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47400 ÷ 3 = 15800) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47400 ÷ 4 = 11850) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47400 ÷ 5 = 9480) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47400 ÷ 6 = 7900) | 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 | Yes (47400 ÷ 8 = 5925) | 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 (47400 ÷ 10 = 4740) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47400 ÷ 12 = 3950) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47400 a prime number?
No. 47400 = × 3 × × 79, so it is divisible by 2.
What are the factors of 47400?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 79, 100, 120, 150, 158, 200, 237, 300, 316, 395, 474, 600, 632, 790, 948, 1185, 1580, 1896, 1975, 2370, 3160, 3950, 4740, 5925, 7900, 9480, 11850, 15800, 23700, 47400.
What is 47400 in binary?
1011100100101000 (hexadecimal B928, octal 134450).
What is the square root of 47400?
About 217.7154, exactly 10√474.
Is 47400 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 47400?
47400 is a Harshad number: divisible by its digit sum 15.