The number 8488
8488 is a composite number with 8 divisors. Its prime factorisation is × 1061. Divisors (8): 1, 2, 4, 8, 1061, 2122, 4244, 8488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8488: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8488 is composite. Its prime factorisation is
- 3
The divisors add up to 15930; without 8488 itself that is 7442, so 8488 is deficient (7442 is less than 8488). Euler's totient φ(8488) = 4240 numbers up to 8488 share no factor with it.
- 4
The digits of 8488 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8488 = 2^{3} \times 1061 \]8488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15930 |
| Euler totient φ(n) | 4240 |
| Square | 72046144 |
| Cube | 611527670272 |
| Square root | 92.130342 (= 2√2122) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.488 × |
8488 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and eighty-eight |
| Binary (base 2) | 10000100101000 |
| Octal (base 8) | 20450 |
| Hexadecimal (base 16) | 2128 |
| Base 3 | 102122101 |
| As time | 8488 seconds = 2 h 21 min 28 s |
Is 8488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8488 ÷ 2 = 4244) | 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 (8488 ÷ 4 = 2122) | 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 4) | 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 (8488 ÷ 8 = 1061) | 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 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 8488 a prime number?
No. 8488 = × 1061, so it is divisible by 2.
What are the factors of 8488?
1, 2, 4, 8, 1061, 2122, 4244, 8488.
What is 8488 in binary?
10000100101000 (hexadecimal 2128, octal 20450).
What is the square root of 8488?
About 92.1303, exactly 2√2122.
Is 8488 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 8488?
8488 is a happy number: repeatedly adding the squares of its digits reaches 1.