The number 59436
59436 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 127. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 127 … 59436.
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How to work it out
- 1
What is special about 59436: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
59436 is composite. Its prime factorisation is
- 3
The divisors add up to 163072; without 59436 itself that is 103636, so 59436 is abundant (103636 is more than 59436). Euler's totient φ(59436) = 18144 numbers up to 59436 share no factor with it.
- 4
The digits of 59436 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
\[ 59436 = 2^{2} \times 3^{2} \times 13 \times 127 \]59436 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 163072 |
| Euler totient φ(n) | 18144 |
| Square | 3532638096 |
| Cube | 209965877873856 |
| Square root | 243.794996 (= 6√1651) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9436 × |
59436 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand four hundred and thirty-six |
| Binary (base 2) | 1110100000101100 |
| Octal (base 8) | 164054 |
| Hexadecimal (base 16) | E82C |
| Base 3 | 10000112100 |
| As time | 59436 seconds = 16 h 30 min 36 s |
Is 59436 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59436 ÷ 2 = 29718) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59436 ÷ 3 = 19812) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59436 ÷ 4 = 14859) | 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 | Yes (59436 ÷ 6 = 9906) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (59436 ÷ 9 = 6604) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (59436 ÷ 12 = 4953) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59436 a prime number?
No. 59436 = × × 13 × 127, so it is divisible by 2.
What are the factors of 59436?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 127, 156, 234, 254, 381, 468, 508, 762, 1143, 1524, 1651, 2286, 3302, 4572, 4953, 6604, 9906, 14859, 19812, 29718, 59436.
What is 59436 in binary?
1110100000101100 (hexadecimal E82C, octal 164054).
What is the square root of 59436?
About 243.7950, exactly 6√1651.
Is 59436 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 59436?
59436 is a happy number: repeatedly adding the squares of its digits reaches 1.