The number 46398
46398 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 11 × 19 × 37. Divisors (32): 1, 2, 3, 6, 11, 19, 22, 33, 37, 38, 57, 66, 74, 111, 114, 209 … 46398.
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How to work it out
- 1
46398 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46398 is composite. Its prime factorisation is
- 3
The divisors add up to 109440; without 46398 itself that is 63042, so 46398 is abundant (63042 is more than 46398). Euler's totient φ(46398) = 12960 numbers up to 46398 share no factor with it.
- 4
The digits of 46398 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 207 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46398 = 2 \times 3 \times 11 \times 19 \times 37 \]
46398 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 109440 |
| Euler totient φ(n) | 12960 |
| Square | 2152774404 |
| Cube | 99884426796792 |
| Square root | 215.401950 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 207 |
| Scientific notation | 4.6398 × |
46398 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand three hundred and ninety-eight |
| Binary (base 2) | 1011010100111110 |
| Octal (base 8) | 132476 |
| Hexadecimal (base 16) | B53E |
| Base 3 | 2100122110 |
| As time | 46398 seconds = 12 h 53 min 18 s |
Is 46398 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46398 ÷ 2 = 23199) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46398 ÷ 3 = 15466) | 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 (46398 ÷ 6 = 7733) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | 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 (46398 ÷ 11 = 4218) | 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 46398 a prime number?
No. 46398 = 2 × 3 × 11 × 19 × 37, so it is divisible by 2.
What are the factors of 46398?
1, 2, 3, 6, 11, 19, 22, 33, 37, 38, 57, 66, 74, 111, 114, 209, 222, 407, 418, 627, 703, 814, 1221, 1254, 1406, 2109, 2442, 4218, 7733, 15466, 23199, 46398.
What is 46398 in binary?
1011010100111110 (hexadecimal B53E, octal 132476).
What is the square root of 46398?
About 215.4019.
Is 46398 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 46398?
It is a composite number with 32 divisors.