The number 47979
47979 is a composite number with 8 divisors. Its prime factorisation is × 1777. Divisors (8): 1, 3, 9, 27, 1777, 5331, 15993, 47979.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47979 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47979 is composite. Its prime factorisation is
- 3
The divisors add up to 71120; without 47979 itself that is 23141, so 47979 is deficient (23141 is less than 47979). Euler's totient φ(47979) = 31968 numbers up to 47979 share no factor with it.
- 4
The digits of 47979 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47979 = 3^{3} \times 1777 \]47979 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 71120 |
| Euler totient φ(n) | 31968 |
| Square | 2301984441 |
| Cube | 110446911494739 |
| Square root | 219.041092 (= 3√5331) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7979 × |
47979 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and seventy-nine |
| Binary (base 2) | 1011101101101011 |
| Octal (base 8) | 135553 |
| Hexadecimal (base 16) | BB6B |
| Base 3 | 2102211000 |
| As time | 47979 seconds = 13 h 19 min 39 s |
Is 47979 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47979 ÷ 3 = 15993) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47979 ÷ 9 = 5331) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47979 a prime number?
No. 47979 = × 1777, so it is divisible by 3.
What are the factors of 47979?
1, 3, 9, 27, 1777, 5331, 15993, 47979.
What is 47979 in binary?
1011101101101011 (hexadecimal BB6B, octal 135553).
What is the square root of 47979?
About 219.0411, exactly 3√5331.
Is 47979 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 47979?
It is a composite number with 8 divisors.