The number 12988
12988 is a composite number with 12 divisors. Its prime factorisation is × 17 × 191. Divisors (12): 1, 2, 4, 17, 34, 68, 191, 382, 764, 3247, 6494, 12988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12988 is composite. Its prime factorisation is
- 3
The divisors add up to 24192; without 12988 itself that is 11204, so 12988 is deficient (11204 is less than 12988). Euler's totient φ(12988) = 6080 numbers up to 12988 share no factor with it.
- 4
The digits of 12988 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12988 = 2^{2} \times 17 \times 191 \]12988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 24192 |
| Euler totient φ(n) | 6080 |
| Square | 168688144 |
| Cube | 2190921614272 |
| Square root | 113.964907 (= 2√3247) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.2988 × |
12988 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand nine hundred and eighty-eight |
| Binary (base 2) | 11001010111100 |
| Octal (base 8) | 31274 |
| Hexadecimal (base 16) | 32BC |
| Base 3 | 122211001 |
| As time | 12988 seconds = 3 h 36 min 28 s |
Is 12988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12988 ÷ 2 = 6494) | 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 (12988 ÷ 4 = 3247) | 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 3) | 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 | No (remainder 4) | 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 8) | 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 12988 a prime number?
No. 12988 = × 17 × 191, so it is divisible by 2.
What are the factors of 12988?
1, 2, 4, 17, 34, 68, 191, 382, 764, 3247, 6494, 12988.
What is 12988 in binary?
11001010111100 (hexadecimal 32BC, octal 31274).
What is the square root of 12988?
About 113.9649, exactly 2√3247.
Is 12988 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 12988?
It is a composite number with 12 divisors.