The number 61828
61828 is a composite number with 24 divisors. Its prime factorisation is × 13 × 29 × 41. Divisors (24): 1, 2, 4, 13, 26, 29, 41, 52, 58, 82, 116, 164, 377, 533, 754, 1066 … 61828.
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How to work it out
- 1
61828 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61828 is composite. Its prime factorisation is
- 3
The divisors add up to 123480; without 61828 itself that is 61652, so 61828 is deficient (61652 is less than 61828). Euler's totient φ(61828) = 26880 numbers up to 61828 share no factor with it.
- 4
The digits of 61828 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 192 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61828 = 2^{2} \times 13 \times 29 \times 41 \]61828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 123480 |
| Euler totient φ(n) | 26880 |
| Square | 3822701584 |
| Cube | 236349993535552 |
| Square root | 248.652368 (= 2√15457) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 192 |
| Scientific notation | 6.1828 × |
61828 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand eight hundred and twenty-eight |
| Binary (base 2) | 1111000110000100 |
| Octal (base 8) | 170604 |
| Hexadecimal (base 16) | F184 |
| Base 3 | 10010210221 |
| As time | 61828 seconds = 17 h 10 min 28 s |
Is 61828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61828 ÷ 2 = 30914) | 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 | Yes (61828 ÷ 4 = 15457) | 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 4) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61828 a prime number?
No. 61828 = × 13 × 29 × 41, so it is divisible by 2.
What are the factors of 61828?
1, 2, 4, 13, 26, 29, 41, 52, 58, 82, 116, 164, 377, 533, 754, 1066, 1189, 1508, 2132, 2378, 4756, 15457, 30914, 61828.
What is 61828 in binary?
1111000110000100 (hexadecimal F184, octal 170604).
What is the square root of 61828?
About 248.6524, exactly 2√15457.
Is 61828 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 61828?
It is a composite number with 24 divisors.