The number 46248
46248 is a composite number with 32 divisors. Its prime factorisation is × 3 × 41 × 47. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 41, 47, 82, 94, 123, 141, 164, 188 … 46248.
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How to work it out
- 1
What is special about 46248: a Harshad number: divisible by its digit sum 24.
- 2
46248 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 46248 itself that is 74712, so 46248 is abundant (74712 is more than 46248). Euler's totient φ(46248) = 14720 numbers up to 46248 share no factor with it.
- 4
The digits of 46248 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46248 = 2^{3} \times 3 \times 41 \times 47 \]46248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 14720 |
| Square | 2138877504 |
| Cube | 98918806804992 |
| Square root | 215.053482 (= 2√11562) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.6248 × |
46248 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand two hundred and forty-eight |
| Binary (base 2) | 1011010010101000 |
| Octal (base 8) | 132250 |
| Hexadecimal (base 16) | B4A8 |
| Base 3 | 2100102220 |
| As time | 46248 seconds = 12 h 50 min 48 s |
Is 46248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46248 ÷ 2 = 23124) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46248 ÷ 3 = 15416) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46248 ÷ 4 = 11562) | 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 | Yes (46248 ÷ 6 = 7708) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (46248 ÷ 8 = 5781) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46248 ÷ 12 = 3854) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46248 a prime number?
No. 46248 = × 3 × 41 × 47, so it is divisible by 2.
What are the factors of 46248?
1, 2, 3, 4, 6, 8, 12, 24, 41, 47, 82, 94, 123, 141, 164, 188, 246, 282, 328, 376, 492, 564, 984, 1128, 1927, 3854, 5781, 7708, 11562, 15416, 23124, 46248.
What is 46248 in binary?
1011010010101000 (hexadecimal B4A8, octal 132250).
What is the square root of 46248?
About 215.0535, exactly 2√11562.
Is 46248 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 46248?
46248 is a Harshad number: divisible by its digit sum 24.