The number 1908
1908 is a composite number with 18 divisors. Its prime factorisation is × × 53. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636 … 1908.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1908: a Harshad number: divisible by its digit sum 18.
- 2
1908 is composite. Its prime factorisation is
- 3
The divisors add up to 4914; without 1908 itself that is 3006, so 1908 is abundant (3006 is more than 1908). Euler's totient φ(1908) = 624 numbers up to 1908 share no factor with it.
- 4
The digits of 1908 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1908 = 2^{2} \times 3^{2} \times 53 \]1908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 4914 |
| Euler totient φ(n) | 624 |
| Square | 3640464 |
| Cube | 6946005312 |
| Square root | 43.680659 (= 6√53) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.908 × |
1908 in other forms
| Form | Value |
|---|---|
| In words | one thousand nine hundred and eight |
| Roman numerals | MCMVIII |
| Binary (base 2) | 11101110100 |
| Octal (base 8) | 3564 |
| Hexadecimal (base 16) | 774 |
| Base 3 | 2121200 |
| As time | 1908 seconds = 31 min 48 s |
Is 1908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1908 ÷ 2 = 954) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1908 ÷ 3 = 636) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1908 ÷ 4 = 477) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1908 ÷ 6 = 318) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (1908 ÷ 9 = 212) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (1908 ÷ 12 = 159) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1908 a prime number?
No. 1908 = × × 53, so it is divisible by 2.
What are the factors of 1908?
1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954, 1908.
What is 1908 in binary?
11101110100 (hexadecimal 774, octal 3564).
What is the square root of 1908?
About 43.6807, exactly 6√53.
What is 1908 in Roman numerals?
MCMVIII.
Is 1908 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 1908?
1908 is a Harshad number: divisible by its digit sum 18.