The number 47970
47970 is a composite number with 48 divisors. Its prime factorisation is 2 × × 5 × 13 × 41. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 41, 45, 65 … 47970.
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How to work it out
- 1
47970 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47970 is composite. Its prime factorisation is
- 3
The divisors add up to 137592; without 47970 itself that is 89622, so 47970 is abundant (89622 is more than 47970). Euler's totient φ(47970) = 11520 numbers up to 47970 share no factor with it.
- 4
The digits of 47970 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47970 = 2 \times 3^{2} \times 5 \times 13 \times 41 \]47970 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 137592 |
| Euler totient φ(n) | 11520 |
| Square | 2301120900 |
| Cube | 110384769573000 |
| Square root | 219.020547 (= 3√5330) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.797 × |
47970 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and seventy |
| Binary (base 2) | 1011101101100010 |
| Octal (base 8) | 135542 |
| Hexadecimal (base 16) | BB62 |
| Base 3 | 2102210200 |
| As time | 47970 seconds = 13 h 19 min 30 s |
Is 47970 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47970 ÷ 2 = 23985) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47970 ÷ 3 = 15990) | 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 (47970 ÷ 5 = 9594) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47970 ÷ 6 = 7995) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47970 ÷ 9 = 5330) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47970 ÷ 10 = 4797) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 47970 a prime number?
No. 47970 = 2 × × 5 × 13 × 41, so it is divisible by 2.
What are the factors of 47970?
1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 41, 45, 65, 78, 82, 90, 117, 123, 130, 195, 205, 234, 246, 369, 390, 410, 533, 585, 615, 738, 1066, 1170, 1230, 1599, 1845, 2665, 3198, 3690, 4797, 5330, 7995, 9594, 15990, 23985, 47970.
What is 47970 in binary?
1011101101100010 (hexadecimal BB62, octal 135542).
What is the square root of 47970?
About 219.0205, exactly 3√5330.
Is 47970 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47970?
It is a composite number with 48 divisors.