The number 46740
46740 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 19 × 41. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 41, 57, 60 … 46740.
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How to work it out
- 1
46740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46740 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 46740 itself that is 94380, so 46740 is abundant (94380 is more than 46740). Euler's totient φ(46740) = 11520 numbers up to 46740 share no factor with it.
- 4
The digits of 46740 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46740 = 2^{2} \times 3 \times 5 \times 19 \times 41 \]46740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 11520 |
| Square | 2184627600 |
| Cube | 102109494024000 |
| Square root | 216.194357 (= 2√11685) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.674 × |
46740 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and forty |
| Binary (base 2) | 1011011010010100 |
| Octal (base 8) | 133224 |
| Hexadecimal (base 16) | B694 |
| Base 3 | 2101010010 |
| As time | 46740 seconds = 12 h 59 min 0 s |
Is 46740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46740 ÷ 2 = 23370) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46740 ÷ 3 = 15580) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46740 ÷ 4 = 11685) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46740 ÷ 5 = 9348) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46740 ÷ 6 = 7790) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46740 ÷ 10 = 4674) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46740 ÷ 12 = 3895) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46740 a prime number?
No. 46740 = × 3 × 5 × 19 × 41, so it is divisible by 2.
What are the factors of 46740?
1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 41, 57, 60, 76, 82, 95, 114, 123, 164, 190, 205, 228, 246, 285, 380, 410, 492, 570, 615, 779, 820, 1140, 1230, 1558, 2337, 2460, 3116, 3895, 4674, 7790, 9348, 11685, 15580, 23370, 46740.
What is 46740 in binary?
1011011010010100 (hexadecimal B694, octal 133224).
What is the square root of 46740?
About 216.1944, exactly 2√11685.
Is 46740 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 46740?
It is a composite number with 48 divisors.