The number 61642
61642 is a composite number with 24 divisors. Its prime factorisation is 2 × × 17 × 37. Divisors (24): 1, 2, 7, 14, 17, 34, 37, 49, 74, 98, 119, 238, 259, 518, 629, 833 … 61642.
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How to work it out
- 1
61642 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61642 is composite. Its prime factorisation is
- 3
The divisors add up to 116964; without 61642 itself that is 55322, so 61642 is deficient (55322 is less than 61642). Euler's totient φ(61642) = 24192 numbers up to 61642 share no factor with it.
- 4
The digits of 61642 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 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61642 = 2 \times 7^{2} \times 17 \times 37 \]61642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 116964 |
| Euler totient φ(n) | 24192 |
| Square | 3799736164 |
| Cube | 234223336621288 |
| Square root | 248.278070 (= 7√1258) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.1642 × |
61642 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand six hundred and forty-two |
| Binary (base 2) | 1111000011001010 |
| Octal (base 8) | 170312 |
| Hexadecimal (base 16) | F0CA |
| Base 3 | 10010120001 |
| As time | 61642 seconds = 17 h 7 min 22 s |
Is 61642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61642 ÷ 2 = 30821) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (61642 ÷ 7 = 8806) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61642 a prime number?
No. 61642 = 2 × × 17 × 37, so it is divisible by 2.
What are the factors of 61642?
1, 2, 7, 14, 17, 34, 37, 49, 74, 98, 119, 238, 259, 518, 629, 833, 1258, 1666, 1813, 3626, 4403, 8806, 30821, 61642.
What is 61642 in binary?
1111000011001010 (hexadecimal F0CA, octal 170312).
What is the square root of 61642?
About 248.2781, exactly 7√1258.
Is 61642 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 61642?
It is a composite number with 24 divisors.