The number 59796
59796 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 151. Divisors (36): 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132 … 59796.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59796: a Harshad number: divisible by its digit sum 36.
- 2
59796 is composite. Its prime factorisation is
- 3
The divisors add up to 165984; without 59796 itself that is 106188, so 59796 is abundant (106188 is more than 59796). Euler's totient φ(59796) = 18000 numbers up to 59796 share no factor with it.
- 4
The digits of 59796 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59796 = 2^{2} \times 3^{2} \times 11 \times 151 \]59796 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 165984 |
| Euler totient φ(n) | 18000 |
| Square | 3575561616 |
| Cube | 213804282390336 |
| Square root | 244.532206 (= 6√1661) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.9796 × |
59796 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand seven hundred and ninety-six |
| Binary (base 2) | 1110100110010100 |
| Octal (base 8) | 164624 |
| Hexadecimal (base 16) | E994 |
| Base 3 | 10001000200 |
| As time | 59796 seconds = 16 h 36 min 36 s |
Is 59796 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59796 ÷ 2 = 29898) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59796 ÷ 3 = 19932) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59796 ÷ 4 = 14949) | 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 (59796 ÷ 6 = 9966) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (59796 ÷ 9 = 6644) | 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 | Yes (59796 ÷ 11 = 5436) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (59796 ÷ 12 = 4983) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59796 a prime number?
No. 59796 = × × 11 × 151, so it is divisible by 2.
What are the factors of 59796?
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 151, 198, 302, 396, 453, 604, 906, 1359, 1661, 1812, 2718, 3322, 4983, 5436, 6644, 9966, 14949, 19932, 29898, 59796.
What is 59796 in binary?
1110100110010100 (hexadecimal E994, octal 164624).
What is the square root of 59796?
About 244.5322, exactly 6√1661.
Is 59796 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 59796?
59796 is a Harshad number: divisible by its digit sum 36.