The number 59664
59664 is a composite number with 40 divisors. Its prime factorisation is × 3 × 11 × 113. Divisors (40): 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88 … 59664.
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How to work it out
- 1
59664 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59664 is composite. Its prime factorisation is
- 3
The divisors add up to 169632; without 59664 itself that is 109968, so 59664 is abundant (109968 is more than 59664). Euler's totient φ(59664) = 17920 numbers up to 59664 share no factor with it.
- 4
The digits of 59664 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59664 = 2^{4} \times 3 \times 11 \times 113 \]59664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 169632 |
| Euler totient φ(n) | 17920 |
| Square | 3559792896 |
| Cube | 212391483346944 |
| Square root | 244.262154 (= 4√3729) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9664 × |
59664 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand six hundred and sixty-four |
| Binary (base 2) | 1110100100010000 |
| Octal (base 8) | 164420 |
| Hexadecimal (base 16) | E910 |
| Base 3 | 10000211210 |
| As time | 59664 seconds = 16 h 34 min 24 s |
Is 59664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59664 ÷ 2 = 29832) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59664 ÷ 3 = 19888) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59664 ÷ 4 = 14916) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (59664 ÷ 6 = 9944) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (59664 ÷ 8 = 7458) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (59664 ÷ 11 = 5424) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (59664 ÷ 12 = 4972) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59664 a prime number?
No. 59664 = × 3 × 11 × 113, so it is divisible by 2.
What are the factors of 59664?
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 113, 132, 176, 226, 264, 339, 452, 528, 678, 904, 1243, 1356, 1808, 2486, 2712, 3729, 4972, 5424, 7458, 9944, 14916, 19888, 29832, 59664.
What is 59664 in binary?
1110100100010000 (hexadecimal E910, octal 164420).
What is the square root of 59664?
About 244.2622, exactly 4√3729.
Is 59664 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 59664?
It is a composite number with 40 divisors.