The number 9913
9913 is a composite number with 4 divisors. Its prime factorisation is 23 × 431. Divisors (4): 1, 23, 431, 9913.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9913: a semiprime: 23 × 431, the product of two primes.
- 2
9913 is composite. Its prime factorisation is
- 3
The divisors add up to 10368; without 9913 itself that is 455, so 9913 is deficient (455 is less than 9913). Euler's totient φ(9913) = 9460 numbers up to 9913 share no factor with it.
- 4
The digits of 9913 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9913 = 23 \times 431 \]
9913 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10368 |
| Euler totient φ(n) | 9460 |
| Square | 98267569 |
| Cube | 974126411497 |
| Square root | 99.564050 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.913 × |
9913 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and thirteen |
| Binary (base 2) | 10011010111001 |
| Octal (base 8) | 23271 |
| Hexadecimal (base 16) | 26B9 |
| Base 3 | 111121011 |
| As time | 9913 seconds = 2 h 45 min 13 s |
Is 9913 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 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 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 1) | 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 3) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9913 a prime number?
No. 9913 = 23 × 431, so it is divisible by 23.
What are the factors of 9913?
1, 23, 431, 9913.
What is 9913 in binary?
10011010111001 (hexadecimal 26B9, octal 23271).
What is the square root of 9913?
About 99.5640.
Is 9913 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 9913?
9913 is a semiprime: 23 × 431, the product of two primes.