The number 61625
61625 is a composite number with 16 divisors. Its prime factorisation is × 17 × 29. Divisors (16): 1, 5, 17, 25, 29, 85, 125, 145, 425, 493, 725, 2125, 2465, 3625, 12325, 61625.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61625 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61625 is composite. Its prime factorisation is
- 3
The divisors add up to 84240; without 61625 itself that is 22615, so 61625 is deficient (22615 is less than 61625). Euler's totient φ(61625) = 44800 numbers up to 61625 share no factor with it.
- 4
The digits of 61625 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61625 = 5^{3} \times 17 \times 29 \]61625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84240 |
| Euler totient φ(n) | 44800 |
| Square | 3797640625 |
| Cube | 234029603515625 |
| Square root | 248.243832 (= 5√2465) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1625 × |
61625 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand six hundred and twenty-five |
| Binary (base 2) | 1111000010111001 |
| Octal (base 8) | 170271 |
| Hexadecimal (base 16) | F0B9 |
| Base 3 | 10010112102 |
| As time | 61625 seconds = 17 h 7 min 5 s |
Is 61625 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 2) | 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 (61625 ÷ 5 = 12325) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61625 a prime number?
No. 61625 = × 17 × 29, so it is divisible by 5.
What are the factors of 61625?
1, 5, 17, 25, 29, 85, 125, 145, 425, 493, 725, 2125, 2465, 3625, 12325, 61625.
What is 61625 in binary?
1111000010111001 (hexadecimal F0B9, octal 170271).
What is the square root of 61625?
About 248.2438, exactly 5√2465.
Is 61625 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 61625?
It is a composite number with 16 divisors.