The number 43401
43401 is a composite number with 16 divisors. Its prime factorisation is 3 × 17 × 23 × 37. Divisors (16): 1, 3, 17, 23, 37, 51, 69, 111, 391, 629, 851, 1173, 1887, 2553, 14467, 43401.
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How to work it out
- 1
43401 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43401 is composite. Its prime factorisation is
- 3
The divisors add up to 65664; without 43401 itself that is 22263, so 43401 is deficient (22263 is less than 43401). Euler's totient φ(43401) = 25344 numbers up to 43401 share no factor with it.
- 4
The digits of 43401 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43401 = 3 \times 17 \times 23 \times 37 \]
43401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 65664 |
| Euler totient φ(n) | 25344 |
| Square | 1883646801 |
| Cube | 81752154810201 |
| Square root | 208.329067 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.3401 × |
43401 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and one |
| Binary (base 2) | 1010100110001001 |
| Octal (base 8) | 124611 |
| Hexadecimal (base 16) | A989 |
| Base 3 | 2012112110 |
| As time | 43401 seconds = 12 h 3 min 21 s |
Is 43401 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43401 ÷ 3 = 14467) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43401 a prime number?
No. 43401 = 3 × 17 × 23 × 37, so it is divisible by 3.
What are the factors of 43401?
1, 3, 17, 23, 37, 51, 69, 111, 391, 629, 851, 1173, 1887, 2553, 14467, 43401.
What is 43401 in binary?
1010100110001001 (hexadecimal A989, octal 124611).
What is the square root of 43401?
About 208.3291.
Is 43401 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 43401?
It is a composite number with 16 divisors.