The number 59264
59264 is a composite number with 16 divisors. Its prime factorisation is × 463. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 463, 926, 1852, 3704, 7408, 14816, 29632, 59264.
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How to work it out
- 1
59264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59264 is composite. Its prime factorisation is
- 3
The divisors add up to 118320; without 59264 itself that is 59056, so 59264 is deficient (59056 is less than 59264). Euler's totient φ(59264) = 29568 numbers up to 59264 share no factor with it.
- 4
The digits of 59264 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59264 = 2^{7} \times 463 \]59264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 118320 |
| Euler totient φ(n) | 29568 |
| Square | 3512221696 |
| Cube | 208148306591744 |
| Square root | 243.441985 (= 8√926) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.9264 × |
59264 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand two hundred and sixty-four |
| Binary (base 2) | 1110011110000000 |
| Octal (base 8) | 163600 |
| Hexadecimal (base 16) | E780 |
| Base 3 | 10000021222 |
| As time | 59264 seconds = 16 h 27 min 44 s |
Is 59264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59264 ÷ 2 = 29632) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59264 ÷ 4 = 14816) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (59264 ÷ 8 = 7408) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59264 a prime number?
No. 59264 = × 463, so it is divisible by 2.
What are the factors of 59264?
1, 2, 4, 8, 16, 32, 64, 128, 463, 926, 1852, 3704, 7408, 14816, 29632, 59264.
What is 59264 in binary?
1110011110000000 (hexadecimal E780, octal 163600).
What is the square root of 59264?
About 243.4420, exactly 8√926.
Is 59264 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 59264?
It is a composite number with 16 divisors.