The number 46998
46998 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 373. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 373, 746, 1119, 2238 … 46998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46998 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46998 is composite. Its prime factorisation is
- 3
The divisors add up to 116688; without 46998 itself that is 69690, so 46998 is abundant (69690 is more than 46998). Euler's totient φ(46998) = 13392 numbers up to 46998 share no factor with it.
- 4
The digits of 46998 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46998 = 2 \times 3^{2} \times 7 \times 373 \]46998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 116688 |
| Euler totient φ(n) | 13392 |
| Square | 2208812004 |
| Cube | 103809746563992 |
| Square root | 216.790221 (= 3√5222) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6998 × |
46998 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and ninety-eight |
| Binary (base 2) | 1011011110010110 |
| Octal (base 8) | 133626 |
| Hexadecimal (base 16) | B796 |
| Base 3 | 2101110200 |
| As time | 46998 seconds = 13 h 3 min 18 s |
Is 46998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46998 ÷ 2 = 23499) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46998 ÷ 3 = 15666) | 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 | Yes (46998 ÷ 6 = 7833) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46998 ÷ 7 = 6714) | 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 | Yes (46998 ÷ 9 = 5222) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46998 a prime number?
No. 46998 = 2 × × 7 × 373, so it is divisible by 2.
What are the factors of 46998?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 373, 746, 1119, 2238, 2611, 3357, 5222, 6714, 7833, 15666, 23499, 46998.
What is 46998 in binary?
1011011110010110 (hexadecimal B796, octal 133626).
What is the square root of 46998?
About 216.7902, exactly 3√5222.
Is 46998 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 46998?
It is a composite number with 24 divisors.