The number 61404
61404 is a composite number with 48 divisors. Its prime factorisation is × 3 × 7 × 17 × 43. Divisors (48): 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 43, 51, 68 … 61404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61404 is composite. Its prime factorisation is
- 3
The divisors add up to 177408; without 61404 itself that is 116004, so 61404 is abundant (116004 is more than 61404). Euler's totient φ(61404) = 16128 numbers up to 61404 share no factor with it.
- 4
The digits of 61404 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61404 = 2^{2} \times 3 \times 7 \times 17 \times 43 \]61404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 177408 |
| Euler totient φ(n) | 16128 |
| Square | 3770451216 |
| Cube | 231520786467264 |
| Square root | 247.798305 (= 2√15351) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.1404 × |
61404 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand four hundred and four |
| Binary (base 2) | 1110111111011100 |
| Octal (base 8) | 167734 |
| Hexadecimal (base 16) | EFDC |
| Base 3 | 10010020020 |
| As time | 61404 seconds = 17 h 3 min 24 s |
Is 61404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61404 ÷ 2 = 30702) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61404 ÷ 3 = 20468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61404 ÷ 4 = 15351) | 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 (61404 ÷ 6 = 10234) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (61404 ÷ 7 = 8772) | 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 6) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61404 ÷ 12 = 5117) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61404 a prime number?
No. 61404 = × 3 × 7 × 17 × 43, so it is divisible by 2.
What are the factors of 61404?
1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 43, 51, 68, 84, 86, 102, 119, 129, 172, 204, 238, 258, 301, 357, 476, 516, 602, 714, 731, 903, 1204, 1428, 1462, 1806, 2193, 2924, 3612, 4386, 5117, 8772, 10234, 15351, 20468, 30702, 61404.
What is 61404 in binary?
1110111111011100 (hexadecimal EFDC, octal 167734).
What is the square root of 61404?
About 247.7983, exactly 2√15351.
Is 61404 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 61404?
It is a composite number with 48 divisors.