The number 46420
46420 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 211. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 211, 220, 422, 844, 1055 … 46420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46420 is composite. Its prime factorisation is
- 3
The divisors add up to 106848; without 46420 itself that is 60428, so 46420 is abundant (60428 is more than 46420). Euler's totient φ(46420) = 16800 numbers up to 46420 share no factor with it.
- 4
The digits of 46420 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46420 = 2^{2} \times 5 \times 11 \times 211 \]46420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 106848 |
| Euler totient φ(n) | 16800 |
| Square | 2154816400 |
| Cube | 100026577288000 |
| Square root | 215.453011 (= 2√11605) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 26 |
| Scientific notation | 4.642 × |
46420 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and twenty |
| Binary (base 2) | 1011010101010100 |
| Octal (base 8) | 132524 |
| Hexadecimal (base 16) | B554 |
| Base 3 | 2100200021 |
| As time | 46420 seconds = 12 h 53 min 40 s |
Is 46420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46420 ÷ 2 = 23210) | 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 (46420 ÷ 4 = 11605) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46420 ÷ 5 = 9284) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46420 ÷ 10 = 4642) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46420 ÷ 11 = 4220) | 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 46420 a prime number?
No. 46420 = × 5 × 11 × 211, so it is divisible by 2.
What are the factors of 46420?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 211, 220, 422, 844, 1055, 2110, 2321, 4220, 4642, 9284, 11605, 23210, 46420.
What is 46420 in binary?
1011010101010100 (hexadecimal B554, octal 132524).
What is the square root of 46420?
About 215.4530, exactly 2√11605.
Is 46420 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 46420?
It is a composite number with 24 divisors.