The number 80121
80121 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 1571. Divisors (8): 1, 3, 17, 51, 1571, 4713, 26707, 80121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80121: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80121 is composite. Its prime factorisation is
- 3
The divisors add up to 113184; without 80121 itself that is 33063, so 80121 is deficient (33063 is less than 80121). Euler's totient φ(80121) = 50240 numbers up to 80121 share no factor with it.
- 4
The digits of 80121 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80121 = 3 \times 17 \times 1571 \]
80121 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 113184 |
| Euler totient φ(n) | 50240 |
| Square | 6419374641 |
| Cube | 514326715611561 |
| Square root | 283.056531 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0121 × |
80121 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and twenty-one |
| Binary (base 2) | 10011100011111001 |
| Octal (base 8) | 234371 |
| Hexadecimal (base 16) | 138F9 |
| Base 3 | 11001220110 |
| As time | 80121 seconds = 22 h 15 min 21 s |
Is 80121 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 (80121 ÷ 3 = 26707) | 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 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 3) | 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 8) | 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 80121 a prime number?
No. 80121 = 3 × 17 × 1571, so it is divisible by 3.
What are the factors of 80121?
1, 3, 17, 51, 1571, 4713, 26707, 80121.
What is 80121 in binary?
10011100011111001 (hexadecimal 138F9, octal 234371).
What is the square root of 80121?
About 283.0565.
Is 80121 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 80121?
80121 is a happy number: repeatedly adding the squares of its digits reaches 1.