The number 80901
80901 is a composite number with 12 divisors. Its prime factorisation is × 89 × 101. Divisors (12): 1, 3, 9, 89, 101, 267, 303, 801, 909, 8989, 26967, 80901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80901 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80901 is composite. Its prime factorisation is
- 3
The divisors add up to 119340; without 80901 itself that is 38439, so 80901 is deficient (38439 is less than 80901). Euler's totient φ(80901) = 52800 numbers up to 80901 share no factor with it.
- 4
The digits of 80901 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80901 = 3^{2} \times 89 \times 101 \]80901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 119340 |
| Euler totient φ(n) | 52800 |
| Square | 6544971801 |
| Cube | 529494763672701 |
| Square root | 284.431011 (= 3√8989) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.0901 × |
80901 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand nine hundred and one |
| Binary (base 2) | 10011110000000101 |
| Octal (base 8) | 236005 |
| Hexadecimal (base 16) | 13C05 |
| Base 3 | 11002222100 |
| As time | 80901 seconds = 22 h 28 min 21 s |
Is 80901 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 (80901 ÷ 3 = 26967) | 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 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80901 ÷ 9 = 8989) | 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 7) | 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 80901 a prime number?
No. 80901 = × 89 × 101, so it is divisible by 3.
What are the factors of 80901?
1, 3, 9, 89, 101, 267, 303, 801, 909, 8989, 26967, 80901.
What is 80901 in binary?
10011110000000101 (hexadecimal 13C05, octal 236005).
What is the square root of 80901?
About 284.4310, exactly 3√8989.
Is 80901 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80901?
It is a composite number with 12 divisors.