The number 9951
9951 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 107. Divisors (8): 1, 3, 31, 93, 107, 321, 3317, 9951.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9951: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9951 is composite. Its prime factorisation is
- 3
The divisors add up to 13824; without 9951 itself that is 3873, so 9951 is deficient (3873 is less than 9951). Euler's totient φ(9951) = 6360 numbers up to 9951 share no factor with it.
- 4
The digits of 9951 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9951 = 3 \times 31 \times 107 \]
9951 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13824 |
| Euler totient φ(n) | 6360 |
| Square | 99022401 |
| Cube | 985371912351 |
| Square root | 99.754699 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.951 × |
9951 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and fifty-one |
| Binary (base 2) | 10011011011111 |
| Octal (base 8) | 23337 |
| Hexadecimal (base 16) | 26DF |
| Base 3 | 111122120 |
| As time | 9951 seconds = 2 h 45 min 51 s |
Is 9951 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 (9951 ÷ 3 = 3317) | 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 4) | 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 6) | 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 7) | 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 9951 a prime number?
No. 9951 = 3 × 31 × 107, so it is divisible by 3.
What are the factors of 9951?
1, 3, 31, 93, 107, 321, 3317, 9951.
What is 9951 in binary?
10011011011111 (hexadecimal 26DF, octal 23337).
What is the square root of 9951?
About 99.7547.
Is 9951 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 9951?
9951 is a happy number: repeatedly adding the squares of its digits reaches 1.