The number 80401
80401 is a composite number with 8 divisors. Its prime factorisation is 37 × 41 × 53. Divisors (8): 1, 37, 41, 53, 1517, 1961, 2173, 80401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80401 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80401 is composite. Its prime factorisation is
- 3
The divisors add up to 86184; without 80401 itself that is 5783, so 80401 is deficient (5783 is less than 80401). Euler's totient φ(80401) = 74880 numbers up to 80401 share no factor with it.
- 4
The digits of 80401 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80401 = 37 \times 41 \times 53 \]
80401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 86184 |
| Euler totient φ(n) | 74880 |
| Square | 6464320801 |
| Cube | 519737856721201 |
| Square root | 283.550701 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.0401 × |
80401 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and one |
| Binary (base 2) | 10011101000010001 |
| Octal (base 8) | 235021 |
| Hexadecimal (base 16) | 13A11 |
| Base 3 | 11002021211 |
| As time | 80401 seconds = 22 h 20 min 1 s |
Is 80401 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80401 a prime number?
No. 80401 = 37 × 41 × 53, so it is divisible by 37.
What are the factors of 80401?
1, 37, 41, 53, 1517, 1961, 2173, 80401.
What is 80401 in binary?
10011101000010001 (hexadecimal 13A11, octal 235021).
What is the square root of 80401?
About 283.5507.
Is 80401 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 80401?
It is a composite number with 8 divisors.