The number 46908
46908 is a composite number with 18 divisors. Its prime factorisation is × × 1303. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1303, 2606, 3909, 5212, 7818, 11727, 15636 … 46908.
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How to work it out
- 1
46908 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46908 is composite. Its prime factorisation is
- 3
The divisors add up to 118664; without 46908 itself that is 71756, so 46908 is abundant (71756 is more than 46908). Euler's totient φ(46908) = 15624 numbers up to 46908 share no factor with it.
- 4
The digits of 46908 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46908 = 2^{2} \times 3^{2} \times 1303 \]46908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 118664 |
| Euler totient φ(n) | 15624 |
| Square | 2200360464 |
| Cube | 103214508645312 |
| Square root | 216.582548 (= 6√1303) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.6908 × |
46908 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and eight |
| Binary (base 2) | 1011011100111100 |
| Octal (base 8) | 133474 |
| Hexadecimal (base 16) | B73C |
| Base 3 | 2101100100 |
| As time | 46908 seconds = 13 h 1 min 48 s |
Is 46908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46908 ÷ 2 = 23454) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46908 ÷ 3 = 15636) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46908 ÷ 4 = 11727) | 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 (46908 ÷ 6 = 7818) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46908 ÷ 9 = 5212) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46908 ÷ 12 = 3909) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46908 a prime number?
No. 46908 = × × 1303, so it is divisible by 2.
What are the factors of 46908?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1303, 2606, 3909, 5212, 7818, 11727, 15636, 23454, 46908.
What is 46908 in binary?
1011011100111100 (hexadecimal B73C, octal 133474).
What is the square root of 46908?
About 216.5825, exactly 6√1303.
Is 46908 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46908?
It is a composite number with 18 divisors.