The number 47498
47498 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 17 × 127. Divisors (16): 1, 2, 11, 17, 22, 34, 127, 187, 254, 374, 1397, 2159, 2794, 4318, 23749, 47498.
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How to work it out
- 1
What is special about 47498: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47498 is composite. Its prime factorisation is
- 3
The divisors add up to 82944; without 47498 itself that is 35446, so 47498 is deficient (35446 is less than 47498). Euler's totient φ(47498) = 20160 numbers up to 47498 share no factor with it.
- 4
The digits of 47498 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47498 = 2 \times 11 \times 17 \times 127 \]
47498 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 82944 |
| Euler totient φ(n) | 20160 |
| Square | 2256060004 |
| Cube | 107158338069992 |
| Square root | 217.940359 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7498 × |
47498 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and ninety-eight |
| Binary (base 2) | 1011100110001010 |
| Octal (base 8) | 134612 |
| Hexadecimal (base 16) | B98A |
| Base 3 | 2102011012 |
| As time | 47498 seconds = 13 h 11 min 38 s |
Is 47498 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47498 ÷ 2 = 23749) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 5) | 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 | Yes (47498 ÷ 11 = 4318) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47498 a prime number?
No. 47498 = 2 × 11 × 17 × 127, so it is divisible by 2.
What are the factors of 47498?
1, 2, 11, 17, 22, 34, 127, 187, 254, 374, 1397, 2159, 2794, 4318, 23749, 47498.
What is 47498 in binary?
1011100110001010 (hexadecimal B98A, octal 134612).
What is the square root of 47498?
About 217.9404.
Is 47498 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 47498?
47498 is a happy number: repeatedly adding the squares of its digits reaches 1.