The number 9974
9974 is a composite number with 4 divisors. Its prime factorisation is 2 × 4987. Divisors (4): 1, 2, 4987, 9974.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9974: a semiprime: 2 × 4987, the product of two primes.
- 2
9974 is composite. Its prime factorisation is
- 3
The divisors add up to 14964; without 9974 itself that is 4990, so 9974 is deficient (4990 is less than 9974). Euler's totient φ(9974) = 4986 numbers up to 9974 share no factor with it.
- 4
The digits of 9974 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9974 = 2 \times 4987 \]
9974 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14964 |
| Euler totient φ(n) | 4986 |
| Square | 99480676 |
| Cube | 992220262424 |
| Square root | 99.869915 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 166 |
| Scientific notation | 9.974 × |
9974 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and seventy-four |
| Binary (base 2) | 10011011110110 |
| Octal (base 8) | 23366 |
| Hexadecimal (base 16) | 26F6 |
| Base 3 | 111200102 |
| As time | 9974 seconds = 2 h 46 min 14 s |
Is 9974 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9974 ÷ 2 = 4987) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 4) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9974 a prime number?
No. 9974 = 2 × 4987, so it is divisible by 2.
What are the factors of 9974?
1, 2, 4987, 9974.
What is 9974 in binary?
10011011110110 (hexadecimal 26F6, octal 23366).
What is the square root of 9974?
About 99.8699.
Is 9974 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 9974?
9974 is a semiprime: 2 × 4987, the product of two primes.