The number 1924
1924 is a composite number with 12 divisors. Its prime factorisation is × 13 × 37. Divisors (12): 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1924 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1924 is composite. Its prime factorisation is
- 3
The divisors add up to 3724; without 1924 itself that is 1800, so 1924 is deficient (1800 is less than 1924). Euler's totient φ(1924) = 864 numbers up to 1924 share no factor with it.
- 4
The digits of 1924 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1924 = 2^{2} \times 13 \times 37 \]1924 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 3724 |
| Euler totient φ(n) | 864 |
| Square | 3701776 |
| Cube | 7122217024 |
| Square root | 43.863424 (= 2√481) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.924 × |
1924 in other forms
| Form | Value |
|---|---|
| In words | one thousand nine hundred and twenty-four |
| Roman numerals | MCMXXIV |
| Binary (base 2) | 11110000100 |
| Octal (base 8) | 3604 |
| Hexadecimal (base 16) | 784 |
| Base 3 | 2122021 |
| As time | 1924 seconds = 32 min 4 s |
Is 1924 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1924 ÷ 2 = 962) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1924 ÷ 4 = 481) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1924 a prime number?
No. 1924 = × 13 × 37, so it is divisible by 2.
What are the factors of 1924?
1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924.
What is 1924 in binary?
11110000100 (hexadecimal 784, octal 3604).
What is the square root of 1924?
About 43.8634, exactly 2√481.
What is 1924 in Roman numerals?
MCMXXIV.
Is 1924 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1924?
It is a composite number with 12 divisors.