The number 59742
59742 is a composite number with 12 divisors. Its prime factorisation is 2 × × 3319. Divisors (12): 1, 2, 3, 6, 9, 18, 3319, 6638, 9957, 19914, 29871, 59742.
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How to work it out
- 1
59742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59742 is composite. Its prime factorisation is
- 3
The divisors add up to 129480; without 59742 itself that is 69738, so 59742 is abundant (69738 is more than 59742). Euler's totient φ(59742) = 19908 numbers up to 59742 share no factor with it.
- 4
The digits of 59742 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59742 = 2 \times 3^{2} \times 3319 \]59742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 129480 |
| Euler totient φ(n) | 19908 |
| Square | 3569106564 |
| Cube | 213225564346488 |
| Square root | 244.421767 (= 3√6638) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.9742 × |
59742 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand seven hundred and forty-two |
| Binary (base 2) | 1110100101011110 |
| Octal (base 8) | 164536 |
| Hexadecimal (base 16) | E95E |
| Base 3 | 10000221200 |
| As time | 59742 seconds = 16 h 35 min 42 s |
Is 59742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59742 ÷ 2 = 29871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59742 ÷ 3 = 19914) | 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 | Yes (59742 ÷ 6 = 9957) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (59742 ÷ 9 = 6638) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59742 a prime number?
No. 59742 = 2 × × 3319, so it is divisible by 2.
What are the factors of 59742?
1, 2, 3, 6, 9, 18, 3319, 6638, 9957, 19914, 29871, 59742.
What is 59742 in binary?
1110100101011110 (hexadecimal E95E, octal 164536).
What is the square root of 59742?
About 244.4218, exactly 3√6638.
Is 59742 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 59742?
It is a composite number with 12 divisors.