The number 9703
9703 is a composite number with 4 divisors. Its prime factorisation is 31 × 313. Divisors (4): 1, 31, 313, 9703.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9703: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 31 × 313, the product of two primes.
- 2
9703 is composite. Its prime factorisation is
- 3
The divisors add up to 10048; without 9703 itself that is 345, so 9703 is deficient (345 is less than 9703). Euler's totient φ(9703) = 9360 numbers up to 9703 share no factor with it.
- 4
The digits of 9703 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9703 = 31 \times 313 \]
9703 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10048 |
| Euler totient φ(n) | 9360 |
| Square | 94148209 |
| Cube | 913520071927 |
| Square root | 98.503807 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.703 × |
9703 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and three |
| Binary (base 2) | 10010111100111 |
| Octal (base 8) | 22747 |
| Hexadecimal (base 16) | 25E7 |
| Base 3 | 111022101 |
| As time | 9703 seconds = 2 h 41 min 43 s |
Is 9703 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 1) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9703 a prime number?
No. 9703 = 31 × 313, so it is divisible by 31.
What are the factors of 9703?
1, 31, 313, 9703.
What is 9703 in binary?
10010111100111 (hexadecimal 25E7, octal 22747).
What is the square root of 9703?
About 98.5038.
Is 9703 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 9703?
9703 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 31 × 313, the product of two primes.