The number 1904
1904 is a composite number with 20 divisors. Its prime factorisation is × 7 × 17. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 56, 68, 112, 119, 136, 238 … 1904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1904: a Harshad number: divisible by its digit sum 14.
- 2
1904 is composite. Its prime factorisation is
- 3
The divisors add up to 4464; without 1904 itself that is 2560, so 1904 is abundant (2560 is more than 1904). Euler's totient φ(1904) = 768 numbers up to 1904 share no factor with it.
- 4
The digits of 1904 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1904 = 2^{4} \times 7 \times 17 \]1904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 4464 |
| Euler totient φ(n) | 768 |
| Square | 3625216 |
| Cube | 6902411264 |
| Square root | 43.634848 (= 4√119) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.904 × |
1904 in other forms
| Form | Value |
|---|---|
| In words | one thousand nine hundred and four |
| Roman numerals | MCMIV |
| Binary (base 2) | 11101110000 |
| Octal (base 8) | 3560 |
| Hexadecimal (base 16) | 770 |
| Base 3 | 2121112 |
| As time | 1904 seconds = 31 min 44 s |
Is 1904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1904 ÷ 2 = 952) | 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 | Yes (1904 ÷ 4 = 476) | 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 | Yes (1904 ÷ 7 = 272) | 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 | Yes (1904 ÷ 8 = 238) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1904 a prime number?
No. 1904 = × 7 × 17, so it is divisible by 2.
What are the factors of 1904?
1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 56, 68, 112, 119, 136, 238, 272, 476, 952, 1904.
What is 1904 in binary?
11101110000 (hexadecimal 770, octal 3560).
What is the square root of 1904?
About 43.6348, exactly 4√119.
What is 1904 in Roman numerals?
MCMIV.
Is 1904 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1904?
1904 is a Harshad number: divisible by its digit sum 14.