The number 80601
80601 is a triangular number: 1 + 2 + … + 401 = 80601. Its prime factorisation is 3 × 67 × 401. Divisors (8): 1, 3, 67, 201, 401, 1203, 26867, 80601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80601: a triangular number: 1 + 2 + … + 401 = 80601.
- 2
80601 is composite. Its prime factorisation is
- 3
The divisors add up to 109344; without 80601 itself that is 28743, so 80601 is deficient (28743 is less than 80601). Euler's totient φ(80601) = 52800 numbers up to 80601 share no factor with it.
- 4
The digits of 80601 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80601 = 3 \times 67 \times 401 \]
80601 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 109344 |
| Euler totient φ(n) | 52800 |
| Square | 6496521201 |
| Cube | 523626105321801 |
| Square root | 283.903153 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.0601 × |
80601 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand six hundred and one |
| Binary (base 2) | 10011101011011001 |
| Octal (base 8) | 235331 |
| Hexadecimal (base 16) | 13AD9 |
| Base 3 | 11002120020 |
| As time | 80601 seconds = 22 h 23 min 21 s |
Is 80601 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 (80601 ÷ 3 = 26867) | 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 3) | 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 6) | 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 80601 a prime number?
No. 80601 = 3 × 67 × 401, so it is divisible by 3.
What are the factors of 80601?
1, 3, 67, 201, 401, 1203, 26867, 80601.
What is 80601 in binary?
10011101011011001 (hexadecimal 13AD9, octal 235331).
What is the square root of 80601?
About 283.9032.
Is 80601 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 80601?
80601 is a triangular number: 1 + 2 + … + 401 = 80601.