The number 48616
48616 is a composite number with 16 divisors. Its prime factorisation is × 59 × 103. Divisors (16): 1, 2, 4, 8, 59, 103, 118, 206, 236, 412, 472, 824, 6077, 12154, 24308, 48616.
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How to work it out
- 1
48616 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48616 is composite. Its prime factorisation is
- 3
The divisors add up to 93600; without 48616 itself that is 44984, so 48616 is deficient (44984 is less than 48616). Euler's totient φ(48616) = 23664 numbers up to 48616 share no factor with it.
- 4
The digits of 48616 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48616 = 2^{3} \times 59 \times 103 \]48616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 93600 |
| Euler totient φ(n) | 23664 |
| Square | 2363515456 |
| Cube | 114904667408896 |
| Square root | 220.490363 (= 2√12154) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8616 × |
48616 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and sixteen |
| Binary (base 2) | 1011110111101000 |
| Octal (base 8) | 136750 |
| Hexadecimal (base 16) | BDE8 |
| Base 3 | 2110200121 |
| As time | 48616 seconds = 13 h 30 min 16 s |
Is 48616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48616 ÷ 2 = 24308) | 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 | Yes (48616 ÷ 4 = 12154) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (48616 ÷ 8 = 6077) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48616 a prime number?
No. 48616 = × 59 × 103, so it is divisible by 2.
What are the factors of 48616?
1, 2, 4, 8, 59, 103, 118, 206, 236, 412, 472, 824, 6077, 12154, 24308, 48616.
What is 48616 in binary?
1011110111101000 (hexadecimal BDE8, octal 136750).
What is the square root of 48616?
About 220.4904, exactly 2√12154.
Is 48616 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 48616?
It is a composite number with 16 divisors.