The number 48216
48216 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 41. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 49, 56 … 48216.
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How to work it out
- 1
What is special about 48216: a Harshad number: divisible by its digit sum 21.
- 2
48216 is composite. Its prime factorisation is
- 3
The divisors add up to 143640; without 48216 itself that is 95424, so 48216 is abundant (95424 is more than 48216). Euler's totient φ(48216) = 13440 numbers up to 48216 share no factor with it.
- 4
The digits of 48216 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48216 = 2^{3} \times 3 \times 7^{2} \times 41 \]48216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 143640 |
| Euler totient φ(n) | 13440 |
| Square | 2324782656 |
| Cube | 112091720541696 |
| Square root | 219.581420 (= 14√246) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8216 × |
48216 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and sixteen |
| Binary (base 2) | 1011110001011000 |
| Octal (base 8) | 136130 |
| Hexadecimal (base 16) | BC58 |
| Base 3 | 2110010210 |
| As time | 48216 seconds = 13 h 23 min 36 s |
Is 48216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48216 ÷ 2 = 24108) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48216 ÷ 3 = 16072) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48216 ÷ 4 = 12054) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48216 ÷ 6 = 8036) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48216 ÷ 7 = 6888) | 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 (48216 ÷ 8 = 6027) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | Yes (48216 ÷ 12 = 4018) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48216 a prime number?
No. 48216 = × 3 × × 41, so it is divisible by 2.
What are the factors of 48216?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 49, 56, 82, 84, 98, 123, 147, 164, 168, 196, 246, 287, 294, 328, 392, 492, 574, 588, 861, 984, 1148, 1176, 1722, 2009, 2296, 3444, 4018, 6027, 6888, 8036, 12054, 16072, 24108, 48216.
What is 48216 in binary?
1011110001011000 (hexadecimal BC58, octal 136130).
What is the square root of 48216?
About 219.5814, exactly 14√246.
Is 48216 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48216?
48216 is a Harshad number: divisible by its digit sum 21.