The number 974
974 is a composite number with 4 divisors. Its prime factorisation is 2 × 487. Divisors (4): 1, 2, 487, 974.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 974: a semiprime: 2 × 487, the product of two primes.
- 2
974 is composite. Its prime factorisation is
- 3
The divisors add up to 1464; without 974 itself that is 490, so 974 is deficient (490 is less than 974). Euler's totient φ(974) = 486 numbers up to 974 share no factor with it.
- 4
The digits of 974 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 974 = 2 \times 487 \]
974 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1464 |
| Euler totient φ(n) | 486 |
| Square | 948676 |
| Cube | 924010424 |
| Square root | 31.208973 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 142 |
| Scientific notation | 9.74 × |
974 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and seventy-four |
| Roman numerals | CMLXXIV |
| Binary (base 2) | 1111001110 |
| Octal (base 8) | 1716 |
| Hexadecimal (base 16) | 3CE |
| Base 3 | 1100002 |
| As time | 974 seconds = 16 min 14 s |
Is 974 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (974 ÷ 2 = 487) | 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 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 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 6) | 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 974 a prime number?
No. 974 = 2 × 487, so it is divisible by 2.
What are the factors of 974?
1, 2, 487, 974.
What is 974 in binary?
1111001110 (hexadecimal 3CE, octal 1716).
What is the square root of 974?
About 31.2090.
What is 974 in Roman numerals?
CMLXXIV.
Is 974 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 974?
974 is a semiprime: 2 × 487, the product of two primes.