The number 46940
46940 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2347. Divisors (12): 1, 2, 4, 5, 10, 20, 2347, 4694, 9388, 11735, 23470, 46940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46940 is composite. Its prime factorisation is
- 3
The divisors add up to 98616; without 46940 itself that is 51676, so 46940 is abundant (51676 is more than 46940). Euler's totient φ(46940) = 18768 numbers up to 46940 share no factor with it.
- 4
The digits of 46940 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46940 = 2^{2} \times 5 \times 2347 \]46940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98616 |
| Euler totient φ(n) | 18768 |
| Square | 2203363600 |
| Cube | 103425887384000 |
| Square root | 216.656410 (= 2√11735) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.694 × |
46940 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and forty |
| Binary (base 2) | 1011011101011100 |
| Octal (base 8) | 133534 |
| Hexadecimal (base 16) | B75C |
| Base 3 | 2101101112 |
| As time | 46940 seconds = 13 h 2 min 20 s |
Is 46940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46940 ÷ 2 = 23470) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46940 ÷ 4 = 11735) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46940 ÷ 5 = 9388) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46940 ÷ 10 = 4694) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46940 a prime number?
No. 46940 = × 5 × 2347, so it is divisible by 2.
What are the factors of 46940?
1, 2, 4, 5, 10, 20, 2347, 4694, 9388, 11735, 23470, 46940.
What is 46940 in binary?
1011011101011100 (hexadecimal B75C, octal 133534).
What is the square root of 46940?
About 216.6564, exactly 2√11735.
Is 46940 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 46940?
It is a composite number with 12 divisors.