The number 46840
46840 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1171. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1171, 2342, 4684, 5855, 9368, 11710, 23420, 46840.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46840 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46840 is composite. Its prime factorisation is
- 3
The divisors add up to 105480; without 46840 itself that is 58640, so 46840 is abundant (58640 is more than 46840). Euler's totient φ(46840) = 18720 numbers up to 46840 share no factor with it.
- 4
The digits of 46840 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 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46840 = 2^{3} \times 5 \times 1171 \]46840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 105480 |
| Euler totient φ(n) | 18720 |
| Square | 2193985600 |
| Cube | 102766285504000 |
| Square root | 216.425507 (= 2√11710) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.684 × |
46840 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and forty |
| Binary (base 2) | 1011011011111000 |
| Octal (base 8) | 133370 |
| Hexadecimal (base 16) | B6F8 |
| Base 3 | 2101020211 |
| As time | 46840 seconds = 13 h 0 min 40 s |
Is 46840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46840 ÷ 2 = 23420) | 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 (46840 ÷ 4 = 11710) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46840 ÷ 5 = 9368) | 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 3) | 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 (46840 ÷ 8 = 5855) | 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 | Yes (46840 ÷ 10 = 4684) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 46840 a prime number?
No. 46840 = × 5 × 1171, so it is divisible by 2.
What are the factors of 46840?
1, 2, 4, 5, 8, 10, 20, 40, 1171, 2342, 4684, 5855, 9368, 11710, 23420, 46840.
What is 46840 in binary?
1011011011111000 (hexadecimal B6F8, octal 133370).
What is the square root of 46840?
About 216.4255, exactly 2√11710.
Is 46840 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 46840?
It is a composite number with 16 divisors.