The number 61525
61525 is a composite number with 12 divisors. Its prime factorisation is × 23 × 107. Divisors (12): 1, 5, 23, 25, 107, 115, 535, 575, 2461, 2675, 12305, 61525.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61525: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
61525 is composite. Its prime factorisation is
- 3
The divisors add up to 80352; without 61525 itself that is 18827, so 61525 is deficient (18827 is less than 61525). Euler's totient φ(61525) = 46640 numbers up to 61525 share no factor with it.
- 4
The digits of 61525 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 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61525 = 5^{2} \times 23 \times 107 \]61525 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 80352 |
| Euler totient φ(n) | 46640 |
| Square | 3785325625 |
| Cube | 232892159078125 |
| Square root | 248.042335 (= 5√2461) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.1525 × |
61525 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand five hundred and twenty-five |
| Binary (base 2) | 1111000001010101 |
| Octal (base 8) | 170125 |
| Hexadecimal (base 16) | F055 |
| Base 3 | 10010101201 |
| As time | 61525 seconds = 17 h 5 min 25 s |
Is 61525 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 (61525 ÷ 5 = 12305) | 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 2) | 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 2) | 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 61525 a prime number?
No. 61525 = × 23 × 107, so it is divisible by 5.
What are the factors of 61525?
1, 5, 23, 25, 107, 115, 535, 575, 2461, 2675, 12305, 61525.
What is 61525 in binary?
1111000001010101 (hexadecimal F055, octal 170125).
What is the square root of 61525?
About 248.0423, exactly 5√2461.
Is 61525 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 61525?
61525 is a happy number: repeatedly adding the squares of its digits reaches 1.