The number 7888
7888 is a composite number with 20 divisors. Its prime factorisation is × 17 × 29. Divisors (20): 1, 2, 4, 8, 16, 17, 29, 34, 58, 68, 116, 136, 232, 272, 464, 493 … 7888.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7888 is composite. Its prime factorisation is
- 3
The divisors add up to 16740; without 7888 itself that is 8852, so 7888 is abundant (8852 is more than 7888). Euler's totient φ(7888) = 3584 numbers up to 7888 share no factor with it.
- 4
The digits of 7888 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7888 = 2^{4} \times 17 \times 29 \]7888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 16740 |
| Euler totient φ(n) | 3584 |
| Square | 62220544 |
| Cube | 490795651072 |
| Square root | 88.814413 (= 4√493) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.888 × |
7888 in other forms
| Form | Value |
|---|---|
| In words | seven thousand eight hundred and eighty-eight |
| Binary (base 2) | 1111011010000 |
| Octal (base 8) | 17320 |
| Hexadecimal (base 16) | 1ED0 |
| Base 3 | 101211011 |
| As time | 7888 seconds = 2 h 11 min 28 s |
Is 7888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7888 ÷ 2 = 3944) | 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 (7888 ÷ 4 = 1972) | 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 6) | 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 (7888 ÷ 8 = 986) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | 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 7888 a prime number?
No. 7888 = × 17 × 29, so it is divisible by 2.
What are the factors of 7888?
1, 2, 4, 8, 16, 17, 29, 34, 58, 68, 116, 136, 232, 272, 464, 493, 986, 1972, 3944, 7888.
What is 7888 in binary?
1111011010000 (hexadecimal 1ED0, octal 17320).
What is the square root of 7888?
About 88.8144, exactly 4√493.
Is 7888 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 7888?
It is a composite number with 20 divisors.