The number 46744
46744 is a composite number with 8 divisors. Its prime factorisation is × 5843. Divisors (8): 1, 2, 4, 8, 5843, 11686, 23372, 46744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46744: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46744 is composite. Its prime factorisation is
- 3
The divisors add up to 87660; without 46744 itself that is 40916, so 46744 is deficient (40916 is less than 46744). Euler's totient φ(46744) = 23368 numbers up to 46744 share no factor with it.
- 4
The digits of 46744 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46744 = 2^{3} \times 5843 \]46744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 87660 |
| Euler totient φ(n) | 23368 |
| Square | 2185001536 |
| Cube | 102135711798784 |
| Square root | 216.203608 (= 2√11686) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.6744 × |
46744 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and forty-four |
| Binary (base 2) | 1011011010011000 |
| Octal (base 8) | 133230 |
| Hexadecimal (base 16) | B698 |
| Base 3 | 2101010021 |
| As time | 46744 seconds = 12 h 59 min 4 s |
Is 46744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46744 ÷ 2 = 23372) | 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 (46744 ÷ 4 = 11686) | 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 5) | 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 (46744 ÷ 8 = 5843) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 5) | 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 46744 a prime number?
No. 46744 = × 5843, so it is divisible by 2.
What are the factors of 46744?
1, 2, 4, 8, 5843, 11686, 23372, 46744.
What is 46744 in binary?
1011011010011000 (hexadecimal B698, octal 133230).
What is the square root of 46744?
About 216.2036, exactly 2√11686.
Is 46744 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 46744?
46744 is a happy number: repeatedly adding the squares of its digits reaches 1.