The number 10012
10012 is a composite number with 6 divisors. Its prime factorisation is × 2503. Divisors (6): 1, 2, 4, 2503, 5006, 10012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10012: a Harshad number: divisible by its digit sum 4.
- 2
10012 is composite. Its prime factorisation is
- 3
The divisors add up to 17528; without 10012 itself that is 7516, so 10012 is deficient (7516 is less than 10012). Euler's totient φ(10012) = 5004 numbers up to 10012 share no factor with it.
- 4
The digits of 10012 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10012 = 2^{2} \times 2503 \]10012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 17528 |
| Euler totient φ(n) | 5004 |
| Square | 100240144 |
| Cube | 1003604321728 |
| Square root | 100.059982 (= 2√2503) |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 1.0012 × |
10012 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and twelve |
| Binary (base 2) | 10011100011100 |
| Octal (base 8) | 23434 |
| Hexadecimal (base 16) | 271C |
| Base 3 | 111201211 |
| As time | 10012 seconds = 2 h 46 min 52 s |
Is 10012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10012 ÷ 2 = 5006) | 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 (10012 ÷ 4 = 2503) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10012 a prime number?
No. 10012 = × 2503, so it is divisible by 2.
What are the factors of 10012?
1, 2, 4, 2503, 5006, 10012.
What is 10012 in binary?
10011100011100 (hexadecimal 271C, octal 23434).
What is the square root of 10012?
About 100.0600, exactly 2√2503.
Is 10012 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 10012?
10012 is a Harshad number: divisible by its digit sum 4.