The number 10071
10071 is a composite number with 8 divisors. Its prime factorisation is × 373. Divisors (8): 1, 3, 9, 27, 373, 1119, 3357, 10071.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10071: a Harshad number: divisible by its digit sum 9.
- 2
10071 is composite. Its prime factorisation is
- 3
The divisors add up to 14960; without 10071 itself that is 4889, so 10071 is deficient (4889 is less than 10071). Euler's totient φ(10071) = 6696 numbers up to 10071 share no factor with it.
- 4
The digits of 10071 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10071 = 3^{3} \times 373 \]10071 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14960 |
| Euler totient φ(n) | 6696 |
| Square | 101425041 |
| Cube | 1021451587911 |
| Square root | 100.354372 (= 3√1119) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 1.0071 × |
10071 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and seventy-one |
| Binary (base 2) | 10011101010111 |
| Octal (base 8) | 23527 |
| Hexadecimal (base 16) | 2757 |
| Base 3 | 111211000 |
| As time | 10071 seconds = 2 h 47 min 51 s |
Is 10071 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 | Yes (10071 ÷ 3 = 3357) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (10071 ÷ 9 = 1119) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10071 a prime number?
No. 10071 = × 373, so it is divisible by 3.
What are the factors of 10071?
1, 3, 9, 27, 373, 1119, 3357, 10071.
What is 10071 in binary?
10011101010111 (hexadecimal 2757, octal 23527).
What is the square root of 10071?
About 100.3544, exactly 3√1119.
Is 10071 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 10071?
10071 is a Harshad number: divisible by its digit sum 9.