The number 47989
47989 is a composite number with 4 divisors. Its prime factorisation is 37 × 1297. Divisors (4): 1, 37, 1297, 47989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47989: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 37; a semiprime: 37 × 1297, the product of two primes.
- 2
47989 is composite. Its prime factorisation is
- 3
The divisors add up to 49324; without 47989 itself that is 1335, so 47989 is deficient (1335 is less than 47989). Euler's totient φ(47989) = 46656 numbers up to 47989 share no factor with it.
- 4
The digits of 47989 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47989 = 37 \times 1297 \]
47989 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 49324 |
| Euler totient φ(n) | 46656 |
| Square | 2302944121 |
| Cube | 110515985422669 |
| Square root | 219.063918 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7989 × |
47989 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and eighty-nine |
| Binary (base 2) | 1011101101110101 |
| Octal (base 8) | 135565 |
| Hexadecimal (base 16) | BB75 |
| Base 3 | 2102211101 |
| As time | 47989 seconds = 13 h 19 min 49 s |
Is 47989 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47989 a prime number?
No. 47989 = 37 × 1297, so it is divisible by 37.
What are the factors of 47989?
1, 37, 1297, 47989.
What is 47989 in binary?
1011101101110101 (hexadecimal BB75, octal 135565).
What is the square root of 47989?
About 219.0639.
Is 47989 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 47989?
47989 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 37; a semiprime: 37 × 1297, the product of two primes.