The number 83121
83121 is a composite number with 8 divisors. Its prime factorisation is 3 × 103 × 269. Divisors (8): 1, 3, 103, 269, 309, 807, 27707, 83121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83121: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
83121 is composite. Its prime factorisation is
- 3
The divisors add up to 112320; without 83121 itself that is 29199, so 83121 is deficient (29199 is less than 83121). Euler's totient φ(83121) = 54672 numbers up to 83121 share no factor with it.
- 4
The digits of 83121 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83121 = 3 \times 103 \times 269 \]
83121 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 112320 |
| Euler totient φ(n) | 54672 |
| Square | 6909100641 |
| Cube | 574291354380561 |
| Square root | 288.307128 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3121 × |
83121 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and twenty-one |
| Binary (base 2) | 10100010010110001 |
| Octal (base 8) | 242261 |
| Hexadecimal (base 16) | 144B1 |
| Base 3 | 11020000120 |
| As time | 83121 seconds = 23 h 5 min 21 s |
Is 83121 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 (83121 ÷ 3 = 27707) | 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 5) | 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 83121 a prime number?
No. 83121 = 3 × 103 × 269, so it is divisible by 3.
What are the factors of 83121?
1, 3, 103, 269, 309, 807, 27707, 83121.
What is 83121 in binary?
10100010010110001 (hexadecimal 144B1, octal 242261).
What is the square root of 83121?
About 288.3071.
Is 83121 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 83121?
83121 is a happy number: repeatedly adding the squares of its digits reaches 1.