The number 67401
67401 is a composite number with 6 divisors. Its prime factorisation is × 7489. Divisors (6): 1, 3, 9, 7489, 22467, 67401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67401 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67401 is composite. Its prime factorisation is
- 3
The divisors add up to 97370; without 67401 itself that is 29969, so 67401 is deficient (29969 is less than 67401). Euler's totient φ(67401) = 44928 numbers up to 67401 share no factor with it.
- 4
The digits of 67401 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67401 = 3^{2} \times 7489 \]67401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 97370 |
| Euler totient φ(n) | 44928 |
| Square | 4542894801 |
| Cube | 306195652482201 |
| Square root | 259.617026 (= 3√7489) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7401 × |
67401 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and one |
| Binary (base 2) | 10000011101001001 |
| Octal (base 8) | 203511 |
| Hexadecimal (base 16) | 10749 |
| Base 3 | 10102110100 |
| As time | 67401 seconds = 18 h 43 min 21 s |
Is 67401 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 (67401 ÷ 3 = 22467) | 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 5) | 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 | Yes (67401 ÷ 9 = 7489) | 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 4) | 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 67401 a prime number?
No. 67401 = × 7489, so it is divisible by 3.
What are the factors of 67401?
1, 3, 9, 7489, 22467, 67401.
What is 67401 in binary?
10000011101001001 (hexadecimal 10749, octal 203511).
What is the square root of 67401?
About 259.6170, exactly 3√7489.
Is 67401 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 67401?
It is a composite number with 6 divisors.