The number 46624
46624 is a composite number with 24 divisors. Its prime factorisation is × 31 × 47. Divisors (24): 1, 2, 4, 8, 16, 31, 32, 47, 62, 94, 124, 188, 248, 376, 496, 752 … 46624.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46624 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46624 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 46624 itself that is 50144, so 46624 is abundant (50144 is more than 46624). Euler's totient φ(46624) = 22080 numbers up to 46624 share no factor with it.
- 4
The digits of 46624 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46624 = 2^{5} \times 31 \times 47 \]46624 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 22080 |
| Square | 2173797376 |
| Cube | 101351128858624 |
| Square root | 215.925913 (= 4√2914) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.6624 × |
46624 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and twenty-four |
| Binary (base 2) | 1011011000100000 |
| Octal (base 8) | 133040 |
| Hexadecimal (base 16) | B620 |
| Base 3 | 2100221211 |
| As time | 46624 seconds = 12 h 57 min 4 s |
Is 46624 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46624 ÷ 2 = 23312) | 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 | Yes (46624 ÷ 4 = 11656) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 4) | 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 | Yes (46624 ÷ 8 = 5828) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46624 a prime number?
No. 46624 = × 31 × 47, so it is divisible by 2.
What are the factors of 46624?
1, 2, 4, 8, 16, 31, 32, 47, 62, 94, 124, 188, 248, 376, 496, 752, 992, 1457, 1504, 2914, 5828, 11656, 23312, 46624.
What is 46624 in binary?
1011011000100000 (hexadecimal B620, octal 133040).
What is the square root of 46624?
About 215.9259, exactly 4√2914.
Is 46624 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 46624?
It is a composite number with 24 divisors.