The number 83125
83125 is a composite number with 20 divisors. Its prime factorisation is × 7 × 19. Divisors (20): 1, 5, 7, 19, 25, 35, 95, 125, 133, 175, 475, 625, 665, 875, 2375, 3325 … 83125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83125: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.
- 2
83125 is composite. Its prime factorisation is
- 3
The divisors add up to 124960; without 83125 itself that is 41835, so 83125 is deficient (41835 is less than 83125). Euler's totient φ(83125) = 54000 numbers up to 83125 share no factor with it.
- 4
The digits of 83125 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83125 = 5^{4} \times 7 \times 19 \]83125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 124960 |
| Euler totient φ(n) | 54000 |
| Square | 6909765625 |
| Cube | 574374267578125 |
| Square root | 288.314065 (= 25√133) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.3125 × |
83125 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and twenty-five |
| Binary (base 2) | 10100010010110101 |
| Octal (base 8) | 242265 |
| Hexadecimal (base 16) | 144B5 |
| Base 3 | 11020000201 |
| As time | 83125 seconds = 23 h 5 min 25 s |
Is 83125 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 | Yes (83125 ÷ 5 = 16625) | 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 | Yes (83125 ÷ 7 = 11875) | 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 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 83125 a prime number?
No. 83125 = × 7 × 19, so it is divisible by 5.
What are the factors of 83125?
1, 5, 7, 19, 25, 35, 95, 125, 133, 175, 475, 625, 665, 875, 2375, 3325, 4375, 11875, 16625, 83125.
What is 83125 in binary?
10100010010110101 (hexadecimal 144B5, octal 242265).
What is the square root of 83125?
About 288.3141, exactly 25√133.
Is 83125 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 83125?
83125 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.