The number 46340
46340 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 331. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 331, 662, 1324, 1655 … 46340.
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How to work it out
- 1
46340 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46340 is composite. Its prime factorisation is
- 3
The divisors add up to 111552; without 46340 itself that is 65212, so 46340 is abundant (65212 is more than 46340). Euler's totient φ(46340) = 15840 numbers up to 46340 share no factor with it.
- 4
The digits of 46340 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46340 = 2^{2} \times 5 \times 7 \times 331 \]46340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 111552 |
| Euler totient φ(n) | 15840 |
| Square | 2147395600 |
| Cube | 99510312104000 |
| Square root | 215.267276 (= 2√11585) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.634 × |
46340 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand three hundred and forty |
| Binary (base 2) | 1011010100000100 |
| Octal (base 8) | 132404 |
| Hexadecimal (base 16) | B504 |
| Base 3 | 2100120022 |
| As time | 46340 seconds = 12 h 52 min 20 s |
Is 46340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46340 ÷ 2 = 23170) | 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 (46340 ÷ 4 = 11585) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46340 ÷ 5 = 9268) | 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 | Yes (46340 ÷ 7 = 6620) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46340 ÷ 10 = 4634) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 46340 a prime number?
No. 46340 = × 5 × 7 × 331, so it is divisible by 2.
What are the factors of 46340?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 331, 662, 1324, 1655, 2317, 3310, 4634, 6620, 9268, 11585, 23170, 46340.
What is 46340 in binary?
1011010100000100 (hexadecimal B504, octal 132404).
What is the square root of 46340?
About 215.2673, exactly 2√11585.
Is 46340 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 46340?
It is a composite number with 24 divisors.