The number 10073
10073 is a composite number with 4 divisors. Its prime factorisation is 7 × 1439. Divisors (4): 1, 7, 1439, 10073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10073: a semiprime: 7 × 1439, the product of two primes.
- 2
10073 is composite. Its prime factorisation is
- 3
The divisors add up to 11520; without 10073 itself that is 1447, so 10073 is deficient (1447 is less than 10073). Euler's totient φ(10073) = 8628 numbers up to 10073 share no factor with it.
- 4
The digits of 10073 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10073 = 7 \times 1439 \]
10073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 11520 |
| Euler totient φ(n) | 8628 |
| Square | 101465329 |
| Cube | 1022060259017 |
| Square root | 100.364336 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 135 |
| Scientific notation | 1.0073 × |
10073 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and seventy-three |
| Binary (base 2) | 10011101011001 |
| Octal (base 8) | 23531 |
| Hexadecimal (base 16) | 2759 |
| Base 3 | 111211002 |
| As time | 10073 seconds = 2 h 47 min 53 s |
Is 10073 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (10073 ÷ 7 = 1439) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10073 a prime number?
No. 10073 = 7 × 1439, so it is divisible by 7.
What are the factors of 10073?
1, 7, 1439, 10073.
What is 10073 in binary?
10011101011001 (hexadecimal 2759, octal 23531).
What is the square root of 10073?
About 100.3643.
Is 10073 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 10073?
10073 is a semiprime: 7 × 1439, the product of two primes.