The number 9957
9957 is a composite number with 4 divisors. Its prime factorisation is 3 × 3319. Divisors (4): 1, 3, 3319, 9957.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9957: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 3319, the product of two primes.
- 2
9957 is composite. Its prime factorisation is
- 3
The divisors add up to 13280; without 9957 itself that is 3323, so 9957 is deficient (3323 is less than 9957). Euler's totient φ(9957) = 6636 numbers up to 9957 share no factor with it.
- 4
The digits of 9957 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9957 = 3 \times 3319 \]
9957 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13280 |
| Euler totient φ(n) | 6636 |
| Square | 99141849 |
| Cube | 987155390493 |
| Square root | 99.784768 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 42 |
| Scientific notation | 9.957 × |
9957 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and fifty-seven |
| Binary (base 2) | 10011011100101 |
| Octal (base 8) | 23345 |
| Hexadecimal (base 16) | 26E5 |
| Base 3 | 111122210 |
| As time | 9957 seconds = 2 h 45 min 57 s |
Is 9957 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 (9957 ÷ 3 = 3319) | 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 2) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9957 a prime number?
No. 9957 = 3 × 3319, so it is divisible by 3.
What are the factors of 9957?
1, 3, 3319, 9957.
What is 9957 in binary?
10011011100101 (hexadecimal 26E5, octal 23345).
What is the square root of 9957?
About 99.7848.
Is 9957 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 9957?
9957 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 3319, the product of two primes.