The number 1404
1404 is a composite number with 24 divisors. Its prime factorisation is × × 13. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78 … 1404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1404: a Harshad number: divisible by its digit sum 9.
- 2
1404 is composite. Its prime factorisation is
- 3
The divisors add up to 3920; without 1404 itself that is 2516, so 1404 is abundant (2516 is more than 1404). Euler's totient φ(1404) = 432 numbers up to 1404 share no factor with it.
- 4
The digits of 1404 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1404 = 2^{2} \times 3^{3} \times 13 \]1404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 3920 |
| Euler totient φ(n) | 432 |
| Square | 1971216 |
| Cube | 2767587264 |
| Square root | 37.469988 (= 6√39) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 1.404 × |
1404 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and four |
| Roman numerals | MCDIV |
| Binary (base 2) | 10101111100 |
| Octal (base 8) | 2574 |
| Hexadecimal (base 16) | 57C |
| Base 3 | 1221000 |
| As time | 1404 seconds = 23 min 24 s |
Is 1404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1404 ÷ 2 = 702) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1404 ÷ 3 = 468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1404 ÷ 4 = 351) | 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 (1404 ÷ 6 = 234) | 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 (1404 ÷ 9 = 156) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1404 ÷ 12 = 117) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1404 a prime number?
No. 1404 = × × 13, so it is divisible by 2.
What are the factors of 1404?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404.
What is 1404 in binary?
10101111100 (hexadecimal 57C, octal 2574).
What is the square root of 1404?
About 37.4700, exactly 6√39.
What is 1404 in Roman numerals?
MCDIV.
Is 1404 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 1404?
1404 is a Harshad number: divisible by its digit sum 9.