The number 14988
14988 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1249. Divisors (12): 1, 2, 3, 4, 6, 12, 1249, 2498, 3747, 4996, 7494, 14988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14988: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14988 is composite. Its prime factorisation is
- 3
The divisors add up to 35000; without 14988 itself that is 20012, so 14988 is abundant (20012 is more than 14988). Euler's totient φ(14988) = 4992 numbers up to 14988 share no factor with it.
- 4
The digits of 14988 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14988 = 2^{2} \times 3 \times 1249 \]14988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 35000 |
| Euler totient φ(n) | 4992 |
| Square | 224640144 |
| Cube | 3366906478272 |
| Square root | 122.425488 (= 2√3747) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.4988 × |
14988 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand nine hundred and eighty-eight |
| Binary (base 2) | 11101010001100 |
| Octal (base 8) | 35214 |
| Hexadecimal (base 16) | 3A8C |
| Base 3 | 202120010 |
| As time | 14988 seconds = 4 h 9 min 48 s |
Is 14988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14988 ÷ 2 = 7494) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14988 ÷ 3 = 4996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14988 ÷ 4 = 3747) | 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 | Yes (14988 ÷ 6 = 2498) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14988 ÷ 12 = 1249) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14988 a prime number?
No. 14988 = × 3 × 1249, so it is divisible by 2.
What are the factors of 14988?
1, 2, 3, 4, 6, 12, 1249, 2498, 3747, 4996, 7494, 14988.
What is 14988 in binary?
11101010001100 (hexadecimal 3A8C, octal 35214).
What is the square root of 14988?
About 122.4255, exactly 2√3747.
Is 14988 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 14988?
14988 is a happy number: repeatedly adding the squares of its digits reaches 1.