The number 61125
61125 is a composite number with 16 divisors. Its prime factorisation is 3 × × 163. Divisors (16): 1, 3, 5, 15, 25, 75, 125, 163, 375, 489, 815, 2445, 4075, 12225, 20375, 61125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61125: a Harshad number: divisible by its digit sum 15.
- 2
61125 is composite. Its prime factorisation is
- 3
The divisors add up to 102336; without 61125 itself that is 41211, so 61125 is deficient (41211 is less than 61125). Euler's totient φ(61125) = 32400 numbers up to 61125 share no factor with it.
- 4
The digits of 61125 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61125 = 3 \times 5^{3} \times 163 \]61125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 102336 |
| Euler totient φ(n) | 32400 |
| Square | 3736265625 |
| Cube | 228379236328125 |
| Square root | 247.234706 (= 5√2445) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 34 |
| Scientific notation | 6.1125 × |
61125 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand one hundred and twenty-five |
| Binary (base 2) | 1110111011000101 |
| Octal (base 8) | 167305 |
| Hexadecimal (base 16) | EEC5 |
| Base 3 | 10002211220 |
| As time | 61125 seconds = 16 h 58 min 45 s |
Is 61125 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 (61125 ÷ 3 = 20375) | 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 (61125 ÷ 5 = 12225) | 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 1) | 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 6) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61125 a prime number?
No. 61125 = 3 × × 163, so it is divisible by 3.
What are the factors of 61125?
1, 3, 5, 15, 25, 75, 125, 163, 375, 489, 815, 2445, 4075, 12225, 20375, 61125.
What is 61125 in binary?
1110111011000101 (hexadecimal EEC5, octal 167305).
What is the square root of 61125?
About 247.2347, exactly 5√2445.
Is 61125 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 61125?
61125 is a Harshad number: divisible by its digit sum 15.