The number 46040
46040 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1151. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1151, 2302, 4604, 5755, 9208, 11510, 23020, 46040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46040: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46040 is composite. Its prime factorisation is
- 3
The divisors add up to 103680; without 46040 itself that is 57640, so 46040 is abundant (57640 is more than 46040). Euler's totient φ(46040) = 18400 numbers up to 46040 share no factor with it.
- 4
The digits of 46040 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46040 = 2^{3} \times 5 \times 1151 \]46040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 103680 |
| Euler totient φ(n) | 18400 |
| Square | 2119681600 |
| Cube | 97590140864000 |
| Square root | 214.569336 (= 2√11510) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.604 × |
46040 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and forty |
| Binary (base 2) | 1011001111011000 |
| Octal (base 8) | 131730 |
| Hexadecimal (base 16) | B3D8 |
| Base 3 | 2100011012 |
| As time | 46040 seconds = 12 h 47 min 20 s |
Is 46040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46040 ÷ 2 = 23020) | 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 (46040 ÷ 4 = 11510) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46040 ÷ 5 = 9208) | 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 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 | Yes (46040 ÷ 8 = 5755) | 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 (46040 ÷ 10 = 4604) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46040 a prime number?
No. 46040 = × 5 × 1151, so it is divisible by 2.
What are the factors of 46040?
1, 2, 4, 5, 8, 10, 20, 40, 1151, 2302, 4604, 5755, 9208, 11510, 23020, 46040.
What is 46040 in binary?
1011001111011000 (hexadecimal B3D8, octal 131730).
What is the square root of 46040?
About 214.5693, exactly 2√11510.
Is 46040 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 46040?
46040 is a happy number: repeatedly adding the squares of its digits reaches 1.