The number 47460
47460 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 7 × 113. Divisors (48): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35 … 47460.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47460: a Harshad number: divisible by its digit sum 21.
- 2
47460 is composite. Its prime factorisation is
- 3
The divisors add up to 153216; without 47460 itself that is 105756, so 47460 is abundant (105756 is more than 47460). Euler's totient φ(47460) = 10752 numbers up to 47460 share no factor with it.
- 4
The digits of 47460 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47460 = 2^{2} \times 3 \times 5 \times 7 \times 113 \]47460 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 153216 |
| Euler totient φ(n) | 10752 |
| Square | 2252451600 |
| Cube | 106901352936000 |
| Square root | 217.853162 (= 2√11865) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.746 × |
47460 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and sixty |
| Binary (base 2) | 1011100101100100 |
| Octal (base 8) | 134544 |
| Hexadecimal (base 16) | B964 |
| Base 3 | 2102002210 |
| As time | 47460 seconds = 13 h 11 min 0 s |
Is 47460 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47460 ÷ 2 = 23730) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47460 ÷ 3 = 15820) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47460 ÷ 4 = 11865) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47460 ÷ 5 = 9492) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47460 ÷ 6 = 7910) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47460 ÷ 7 = 6780) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47460 ÷ 10 = 4746) | 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 | Yes (47460 ÷ 12 = 3955) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47460 a prime number?
No. 47460 = × 3 × 5 × 7 × 113, so it is divisible by 2.
What are the factors of 47460?
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 113, 140, 210, 226, 339, 420, 452, 565, 678, 791, 1130, 1356, 1582, 1695, 2260, 2373, 3164, 3390, 3955, 4746, 6780, 7910, 9492, 11865, 15820, 23730, 47460.
What is 47460 in binary?
1011100101100100 (hexadecimal B964, octal 134544).
What is the square root of 47460?
About 217.8532, exactly 2√11865.
Is 47460 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47460?
47460 is a Harshad number: divisible by its digit sum 21.