The number 1974
1974 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 47. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 47, 94, 141, 282, 329, 658, 987, 1974.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1974: a Harshad number: divisible by its digit sum 21.
- 2
1974 is composite. Its prime factorisation is
- 3
The divisors add up to 4608; without 1974 itself that is 2634, so 1974 is abundant (2634 is more than 1974). Euler's totient φ(1974) = 552 numbers up to 1974 share no factor with it.
- 4
The digits of 1974 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1974 = 2 \times 3 \times 7 \times 47 \]
1974 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 4608 |
| Euler totient φ(n) | 552 |
| Square | 3896676 |
| Cube | 7692038424 |
| Square root | 44.429720 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.974 × |
1974 in other forms
| Form | Value |
|---|---|
| In words | one thousand nine hundred and seventy-four |
| Roman numerals | MCMLXXIV |
| Binary (base 2) | 11110110110 |
| Octal (base 8) | 3666 |
| Hexadecimal (base 16) | 7B6 |
| Base 3 | 2201010 |
| As time | 1974 seconds = 32 min 54 s |
Is 1974 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1974 ÷ 2 = 987) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1974 ÷ 3 = 658) | 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 | Yes (1974 ÷ 6 = 329) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1974 ÷ 7 = 282) | 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 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1974 a prime number?
No. 1974 = 2 × 3 × 7 × 47, so it is divisible by 2.
What are the factors of 1974?
1, 2, 3, 6, 7, 14, 21, 42, 47, 94, 141, 282, 329, 658, 987, 1974.
What is 1974 in binary?
11110110110 (hexadecimal 7B6, octal 3666).
What is the square root of 1974?
About 44.4297.
What is 1974 in Roman numerals?
MCMLXXIV.
Is 1974 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 1974?
1974 is a Harshad number: divisible by its digit sum 21.