The number 104
104 is a composite number with 8 divisors. Its prime factorisation is × 13. Divisors (8): 1, 2, 4, 8, 13, 26, 52, 104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
104 is composite. Its prime factorisation is
- 3
The divisors add up to 210; without 104 itself that is 106, so 104 is abundant (106 is more than 104). Euler's totient φ(104) = 48 numbers up to 104 share no factor with it.
- 4
The digits of 104 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 12 steps to reach 1.
LaTeX source of the formulas on this page
\[ 104 = 2^{3} \times 13 \]104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 210 |
| Euler totient φ(n) | 48 |
| Square | 10816 |
| Cube | 1124864 |
| Square root | 10.198039 (= 2√26) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 12 |
| Scientific notation | 1.04 × |
104 in other forms
| Form | Value |
|---|---|
| In words | one hundred and four |
| Roman numerals | CIV |
| Binary (base 2) | 1101000 |
| Octal (base 8) | 150 |
| Hexadecimal (base 16) | 68 |
| Base 3 | 10212 |
| As time | 104 seconds = 1 min 44 s |
Is 104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (104 ÷ 2 = 52) | 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 (104 ÷ 4 = 26) | 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 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 | Yes (104 ÷ 8 = 13) | 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 5) | 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 104 a prime number?
No. 104 = × 13, so it is divisible by 2.
What are the factors of 104?
1, 2, 4, 8, 13, 26, 52, 104.
What is 104 in binary?
1101000 (hexadecimal 68, octal 150).
What is the square root of 104?
About 10.1980, exactly 2√26.
What is 104 in Roman numerals?
CIV.
Is 104 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 104?
It is a composite number with 8 divisors.