The number 60401
60401 is a composite number with 12 divisors. Its prime factorisation is 11 × × 19. Divisors (12): 1, 11, 17, 19, 187, 209, 289, 323, 3179, 3553, 5491, 60401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60401: a Harshad number: divisible by its digit sum 11.
- 2
60401 is composite. Its prime factorisation is
- 3
The divisors add up to 73680; without 60401 itself that is 13279, so 60401 is deficient (13279 is less than 60401). Euler's totient φ(60401) = 48960 numbers up to 60401 share no factor with it.
- 4
The digits of 60401 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60401 = 11 \times 17^{2} \times 19 \]60401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73680 |
| Euler totient φ(n) | 48960 |
| Square | 3648280801 |
| Cube | 220359808661201 |
| Square root | 245.766149 (= 17√209) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.0401 × |
60401 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand four hundred and one |
| Binary (base 2) | 1110101111110001 |
| Octal (base 8) | 165761 |
| Hexadecimal (base 16) | EBF1 |
| Base 3 | 10001212002 |
| As time | 60401 seconds = 16 h 46 min 41 s |
Is 60401 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 | No (remainder 2) | 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 5) | 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 | No (remainder 2) | 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 | Yes (60401 ÷ 11 = 5491) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60401 a prime number?
No. 60401 = 11 × × 19, so it is divisible by 11.
What are the factors of 60401?
1, 11, 17, 19, 187, 209, 289, 323, 3179, 3553, 5491, 60401.
What is 60401 in binary?
1110101111110001 (hexadecimal EBF1, octal 165761).
What is the square root of 60401?
About 245.7661, exactly 17√209.
Is 60401 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 60401?
60401 is a Harshad number: divisible by its digit sum 11.