The number 48624
48624 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1013. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1013, 2026, 3039, 4052, 6078, 8104 … 48624.
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How to work it out
- 1
What is special about 48624: a Harshad number: divisible by its digit sum 24.
- 2
48624 is composite. Its prime factorisation is
- 3
The divisors add up to 125736; without 48624 itself that is 77112, so 48624 is abundant (77112 is more than 48624). Euler's totient φ(48624) = 16192 numbers up to 48624 share no factor with it.
- 4
The digits of 48624 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48624 = 2^{4} \times 3 \times 1013 \]48624 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 125736 |
| Euler totient φ(n) | 16192 |
| Square | 2364293376 |
| Cube | 114961401114624 |
| Square root | 220.508503 (= 4√3039) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8624 × |
48624 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and twenty-four |
| Binary (base 2) | 1011110111110000 |
| Octal (base 8) | 136760 |
| Hexadecimal (base 16) | BDF0 |
| Base 3 | 2110200220 |
| As time | 48624 seconds = 13 h 30 min 24 s |
Is 48624 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48624 ÷ 2 = 24312) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48624 ÷ 3 = 16208) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48624 ÷ 4 = 12156) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48624 ÷ 6 = 8104) | 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 | Yes (48624 ÷ 8 = 6078) | 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 4) | 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 (48624 ÷ 12 = 4052) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48624 a prime number?
No. 48624 = × 3 × 1013, so it is divisible by 2.
What are the factors of 48624?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1013, 2026, 3039, 4052, 6078, 8104, 12156, 16208, 24312, 48624.
What is 48624 in binary?
1011110111110000 (hexadecimal BDF0, octal 136760).
What is the square root of 48624?
About 220.5085, exactly 4√3039.
Is 48624 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48624?
48624 is a Harshad number: divisible by its digit sum 24.