The number 59661
59661 is a composite number with 12 divisors. Its prime factorisation is × 7 × 947. Divisors (12): 1, 3, 7, 9, 21, 63, 947, 2841, 6629, 8523, 19887, 59661.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59661 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59661 is composite. Its prime factorisation is
- 3
The divisors add up to 98592; without 59661 itself that is 38931, so 59661 is deficient (38931 is less than 59661). Euler's totient φ(59661) = 34056 numbers up to 59661 share no factor with it.
- 4
The digits of 59661 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 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59661 = 3^{2} \times 7 \times 947 \]59661 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98592 |
| Euler totient φ(n) | 34056 |
| Square | 3559434921 |
| Cube | 212359446821781 |
| Square root | 244.256013 (= 3√6629) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9661 × |
59661 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand six hundred and sixty-one |
| Binary (base 2) | 1110100100001101 |
| Octal (base 8) | 164415 |
| Hexadecimal (base 16) | E90D |
| Base 3 | 10000211200 |
| As time | 59661 seconds = 16 h 34 min 21 s |
Is 59661 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 | Yes (59661 ÷ 3 = 19887) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (59661 ÷ 7 = 8523) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (59661 ÷ 9 = 6629) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59661 a prime number?
No. 59661 = × 7 × 947, so it is divisible by 3.
What are the factors of 59661?
1, 3, 7, 9, 21, 63, 947, 2841, 6629, 8523, 19887, 59661.
What is 59661 in binary?
1110100100001101 (hexadecimal E90D, octal 164415).
What is the square root of 59661?
About 244.2560, exactly 3√6629.
Is 59661 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 59661?
It is a composite number with 12 divisors.