The number 47998
47998 is a composite number with 8 divisors. Its prime factorisation is 2 × 103 × 233. Divisors (8): 1, 2, 103, 206, 233, 466, 23999, 47998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47998: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47998 is composite. Its prime factorisation is
- 3
The divisors add up to 73008; without 47998 itself that is 25010, so 47998 is deficient (25010 is less than 47998). Euler's totient φ(47998) = 23664 numbers up to 47998 share no factor with it.
- 4
The digits of 47998 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47998 = 2 \times 103 \times 233 \]
47998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 73008 |
| Euler totient φ(n) | 23664 |
| Square | 2303808004 |
| Cube | 110578176575992 |
| Square root | 219.084459 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.7998 × |
47998 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and ninety-eight |
| Binary (base 2) | 1011101101111110 |
| Octal (base 8) | 135576 |
| Hexadecimal (base 16) | BB7E |
| Base 3 | 2102211201 |
| As time | 47998 seconds = 13 h 19 min 58 s |
Is 47998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47998 ÷ 2 = 23999) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47998 a prime number?
No. 47998 = 2 × 103 × 233, so it is divisible by 2.
What are the factors of 47998?
1, 2, 103, 206, 233, 466, 23999, 47998.
What is 47998 in binary?
1011101101111110 (hexadecimal BB7E, octal 135576).
What is the square root of 47998?
About 219.0845.
Is 47998 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 47998?
47998 is a happy number: repeatedly adding the squares of its digits reaches 1.