The number 2147
2147 is a composite number with 4 divisors. Its prime factorisation is 19 × 113. Divisors (4): 1, 19, 113, 2147.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2147: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 19 × 113, the product of two primes.
- 2
2147 is composite. Its prime factorisation is
- 3
The divisors add up to 2280; without 2147 itself that is 133, so 2147 is deficient (133 is less than 2147). Euler's totient φ(2147) = 2016 numbers up to 2147 share no factor with it.
- 4
The digits of 2147 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 24 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2147 = 19 \times 113 \]
2147 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2280 |
| Euler totient φ(n) | 2016 |
| Square | 4609609 |
| Cube | 9896830523 |
| Square root | 46.335731 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 24 |
| Scientific notation | 2.147 × |
2147 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and forty-seven |
| Roman numerals | MMCXLVII |
| Binary (base 2) | 100001100011 |
| Octal (base 8) | 4143 |
| Hexadecimal (base 16) | 863 |
| Base 3 | 2221112 |
| As time | 2147 seconds = 35 min 47 s |
Is 2147 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2147 a prime number?
No. 2147 = 19 × 113, so it is divisible by 19.
What are the factors of 2147?
1, 19, 113, 2147.
What is 2147 in binary?
100001100011 (hexadecimal 863, octal 4143).
What is the square root of 2147?
About 46.3357.
What is 2147 in Roman numerals?
MMCXLVII.
Is 2147 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 2147?
2147 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 19 × 113, the product of two primes.