The number 10014
10014 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 1669. Divisors (8): 1, 2, 3, 6, 1669, 3338, 5007, 10014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10014: a Harshad number: divisible by its digit sum 6.
- 2
10014 is composite. Its prime factorisation is
- 3
The divisors add up to 20040; without 10014 itself that is 10026, so 10014 is abundant (10026 is more than 10014). Euler's totient φ(10014) = 3336 numbers up to 10014 share no factor with it.
- 4
The digits of 10014 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10014 = 2 \times 3 \times 1669 \]
10014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20040 |
| Euler totient φ(n) | 3336 |
| Square | 100280196 |
| Cube | 1004205882744 |
| Square root | 100.069976 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 1.0014 × |
10014 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and fourteen |
| Binary (base 2) | 10011100011110 |
| Octal (base 8) | 23436 |
| Hexadecimal (base 16) | 271E |
| Base 3 | 111201220 |
| As time | 10014 seconds = 2 h 46 min 54 s |
Is 10014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10014 ÷ 2 = 5007) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10014 ÷ 3 = 3338) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (10014 ÷ 6 = 1669) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10014 a prime number?
No. 10014 = 2 × 3 × 1669, so it is divisible by 2.
What are the factors of 10014?
1, 2, 3, 6, 1669, 3338, 5007, 10014.
What is 10014 in binary?
10011100011110 (hexadecimal 271E, octal 23436).
What is the square root of 10014?
About 100.0700.
Is 10014 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 10014?
10014 is a Harshad number: divisible by its digit sum 6.