The number 10184
10184 is a composite number with 16 divisors. Its prime factorisation is × 19 × 67. Divisors (16): 1, 2, 4, 8, 19, 38, 67, 76, 134, 152, 268, 536, 1273, 2546, 5092, 10184.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10184: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
10184 is composite. Its prime factorisation is
- 3
The divisors add up to 20400; without 10184 itself that is 10216, so 10184 is abundant (10216 is more than 10184). Euler's totient φ(10184) = 4752 numbers up to 10184 share no factor with it.
- 4
The digits of 10184 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10184 = 2^{3} \times 19 \times 67 \]10184 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 20400 |
| Euler totient φ(n) | 4752 |
| Square | 103713856 |
| Cube | 1056221909504 |
| Square root | 100.915806 (= 2√2546) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 34 |
| Scientific notation | 1.0184 × |
10184 in other forms
| Form | Value |
|---|---|
| In words | ten thousand one hundred and eighty-four |
| Binary (base 2) | 10011111001000 |
| Octal (base 8) | 23710 |
| Hexadecimal (base 16) | 27C8 |
| Base 3 | 111222012 |
| As time | 10184 seconds = 2 h 49 min 44 s |
Is 10184 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10184 ÷ 2 = 5092) | 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 | Yes (10184 ÷ 4 = 2546) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (10184 ÷ 8 = 1273) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10184 a prime number?
No. 10184 = × 19 × 67, so it is divisible by 2.
What are the factors of 10184?
1, 2, 4, 8, 19, 38, 67, 76, 134, 152, 268, 536, 1273, 2546, 5092, 10184.
What is 10184 in binary?
10011111001000 (hexadecimal 27C8, octal 23710).
What is the square root of 10184?
About 100.9158, exactly 2√2546.
Is 10184 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 10184?
10184 is a happy number: repeatedly adding the squares of its digits reaches 1.