The number 47949
47949 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 1453. Divisors (8): 1, 3, 11, 33, 1453, 4359, 15983, 47949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47949: a Harshad number: divisible by its digit sum 33.
- 2
47949 is composite. Its prime factorisation is
- 3
The divisors add up to 69792; without 47949 itself that is 21843, so 47949 is deficient (21843 is less than 47949). Euler's totient φ(47949) = 29040 numbers up to 47949 share no factor with it.
- 4
The digits of 47949 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47949 = 3 \times 11 \times 1453 \]
47949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 69792 |
| Euler totient φ(n) | 29040 |
| Square | 2299106601 |
| Cube | 110239862411349 |
| Square root | 218.972601 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7949 × |
47949 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and forty-nine |
| Binary (base 2) | 1011101101001101 |
| Octal (base 8) | 135515 |
| Hexadecimal (base 16) | BB4D |
| Base 3 | 2102202220 |
| As time | 47949 seconds = 13 h 19 min 9 s |
Is 47949 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 (47949 ÷ 3 = 15983) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 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 5) | 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 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47949 ÷ 11 = 4359) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47949 a prime number?
No. 47949 = 3 × 11 × 1453, so it is divisible by 3.
What are the factors of 47949?
1, 3, 11, 33, 1453, 4359, 15983, 47949.
What is 47949 in binary?
1011101101001101 (hexadecimal BB4D, octal 135515).
What is the square root of 47949?
About 218.9726.
Is 47949 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 47949?
47949 is a Harshad number: divisible by its digit sum 33.