The number 61628
61628 is a composite number with 24 divisors. Its prime factorisation is × 7 × 31 × 71. Divisors (24): 1, 2, 4, 7, 14, 28, 31, 62, 71, 124, 142, 217, 284, 434, 497, 868 … 61628.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61628 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61628 is composite. Its prime factorisation is
- 3
The divisors add up to 129024; without 61628 itself that is 67396, so 61628 is abundant (67396 is more than 61628). Euler's totient φ(61628) = 25200 numbers up to 61628 share no factor with it.
- 4
The digits of 61628 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61628 = 2^{2} \times 7 \times 31 \times 71 \]61628 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 129024 |
| Euler totient φ(n) | 25200 |
| Square | 3798010384 |
| Cube | 234063783945152 |
| Square root | 248.249874 (= 2√15407) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1628 × |
61628 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand six hundred and twenty-eight |
| Binary (base 2) | 1111000010111100 |
| Octal (base 8) | 170274 |
| Hexadecimal (base 16) | F0BC |
| Base 3 | 10010112112 |
| As time | 61628 seconds = 17 h 7 min 8 s |
Is 61628 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61628 ÷ 2 = 30814) | 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 | Yes (61628 ÷ 4 = 15407) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (61628 ÷ 7 = 8804) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61628 a prime number?
No. 61628 = × 7 × 31 × 71, so it is divisible by 2.
What are the factors of 61628?
1, 2, 4, 7, 14, 28, 31, 62, 71, 124, 142, 217, 284, 434, 497, 868, 994, 1988, 2201, 4402, 8804, 15407, 30814, 61628.
What is 61628 in binary?
1111000010111100 (hexadecimal F0BC, octal 170274).
What is the square root of 61628?
About 248.2499, exactly 2√15407.
Is 61628 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 61628?
It is a composite number with 24 divisors.