The number 46090
46090 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 419. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 110, 419, 838, 2095, 4190, 4609, 9218, 23045, 46090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46090: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46090 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 46090 itself that is 44630, so 46090 is deficient (44630 is less than 46090). Euler's totient φ(46090) = 16720 numbers up to 46090 share no factor with it.
- 4
The digits of 46090 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46090 = 2 \times 5 \times 11 \times 419 \]
46090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 16720 |
| Square | 2124288100 |
| Cube | 97908438529000 |
| Square root | 214.685817 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.609 × |
46090 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and ninety |
| Binary (base 2) | 1011010000001010 |
| Octal (base 8) | 132012 |
| Hexadecimal (base 16) | B40A |
| Base 3 | 2100020001 |
| As time | 46090 seconds = 12 h 48 min 10 s |
Is 46090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46090 ÷ 2 = 23045) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46090 ÷ 5 = 9218) | 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 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46090 ÷ 10 = 4609) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46090 ÷ 11 = 4190) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46090 a prime number?
No. 46090 = 2 × 5 × 11 × 419, so it is divisible by 2.
What are the factors of 46090?
1, 2, 5, 10, 11, 22, 55, 110, 419, 838, 2095, 4190, 4609, 9218, 23045, 46090.
What is 46090 in binary?
1011010000001010 (hexadecimal B40A, octal 132012).
What is the square root of 46090?
About 214.6858.
Is 46090 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 46090?
46090 is a happy number: repeatedly adding the squares of its digits reaches 1.