The number 4888
4888 is a composite number with 16 divisors. Its prime factorisation is × 13 × 47. Divisors (16): 1, 2, 4, 8, 13, 26, 47, 52, 94, 104, 188, 376, 611, 1222, 2444, 4888.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4888: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
4888 is composite. Its prime factorisation is
- 3
The divisors add up to 10080; without 4888 itself that is 5192, so 4888 is abundant (5192 is more than 4888). Euler's totient φ(4888) = 2208 numbers up to 4888 share no factor with it.
- 4
The digits of 4888 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4888 = 2^{3} \times 13 \times 47 \]4888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 10080 |
| Euler totient φ(n) | 2208 |
| Square | 23892544 |
| Cube | 116786755072 |
| Square root | 69.914233 (= 2√1222) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 41 |
| Scientific notation | 4.888 × |
4888 in other forms
| Form | Value |
|---|---|
| In words | four thousand eight hundred and eighty-eight |
| Binary (base 2) | 1001100011000 |
| Octal (base 8) | 11430 |
| Hexadecimal (base 16) | 1318 |
| Base 3 | 20201001 |
| As time | 4888 seconds = 1 h 21 min 28 s |
Is 4888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4888 ÷ 2 = 2444) | 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 (4888 ÷ 4 = 1222) | 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 4) | 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 (4888 ÷ 8 = 611) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4888 a prime number?
No. 4888 = × 13 × 47, so it is divisible by 2.
What are the factors of 4888?
1, 2, 4, 8, 13, 26, 47, 52, 94, 104, 188, 376, 611, 1222, 2444, 4888.
What is 4888 in binary?
1001100011000 (hexadecimal 1318, octal 11430).
What is the square root of 4888?
About 69.9142, exactly 2√1222.
Is 4888 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 4888?
4888 is a happy number: repeatedly adding the squares of its digits reaches 1.