The number 46148
46148 is a composite number with 12 divisors. Its prime factorisation is × 83 × 139. Divisors (12): 1, 2, 4, 83, 139, 166, 278, 332, 556, 11537, 23074, 46148.
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How to work it out
- 1
What is special about 46148: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46148 is composite. Its prime factorisation is
- 3
The divisors add up to 82320; without 46148 itself that is 36172, so 46148 is deficient (36172 is less than 46148). Euler's totient φ(46148) = 22632 numbers up to 46148 share no factor with it.
- 4
The digits of 46148 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46148 = 2^{2} \times 83 \times 139 \]46148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 82320 |
| Euler totient φ(n) | 22632 |
| Square | 2129637904 |
| Cube | 98278529993792 |
| Square root | 214.820856 (= 2√11537) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6148 × |
46148 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand one hundred and forty-eight |
| Binary (base 2) | 1011010001000100 |
| Octal (base 8) | 132104 |
| Hexadecimal (base 16) | B444 |
| Base 3 | 2100022012 |
| As time | 46148 seconds = 12 h 49 min 8 s |
Is 46148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46148 ÷ 2 = 23074) | 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 (46148 ÷ 4 = 11537) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 46148 a prime number?
No. 46148 = × 83 × 139, so it is divisible by 2.
What are the factors of 46148?
1, 2, 4, 83, 139, 166, 278, 332, 556, 11537, 23074, 46148.
What is 46148 in binary?
1011010001000100 (hexadecimal B444, octal 132104).
What is the square root of 46148?
About 214.8209, exactly 2√11537.
Is 46148 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 46148?
46148 is a happy number: repeatedly adding the squares of its digits reaches 1.