The number 61225
61225 is a composite number with 12 divisors. Its prime factorisation is × 31 × 79. Divisors (12): 1, 5, 25, 31, 79, 155, 395, 775, 1975, 2449, 12245, 61225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61225: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
61225 is composite. Its prime factorisation is
- 3
The divisors add up to 79360; without 61225 itself that is 18135, so 61225 is deficient (18135 is less than 61225). Euler's totient φ(61225) = 46800 numbers up to 61225 share no factor with it.
- 4
The digits of 61225 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61225 = 5^{2} \times 31 \times 79 \]61225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 79360 |
| Euler totient φ(n) | 46800 |
| Square | 3748500625 |
| Cube | 229501950765625 |
| Square root | 247.436861 (= 5√2449) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.1225 × |
61225 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand two hundred and twenty-five |
| Binary (base 2) | 1110111100101001 |
| Octal (base 8) | 167451 |
| Hexadecimal (base 16) | EF29 |
| Base 3 | 10002222121 |
| As time | 61225 seconds = 17 h 0 min 25 s |
Is 61225 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 (61225 ÷ 5 = 12245) | 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 | 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 7) | 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 10) | 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 61225 a prime number?
No. 61225 = × 31 × 79, so it is divisible by 5.
What are the factors of 61225?
1, 5, 25, 31, 79, 155, 395, 775, 1975, 2449, 12245, 61225.
What is 61225 in binary?
1110111100101001 (hexadecimal EF29, octal 167451).
What is the square root of 61225?
About 247.4369, exactly 5√2449.
Is 61225 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 61225?
61225 is a happy number: repeatedly adding the squares of its digits reaches 1.