The number 59928
59928 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 227. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 227 … 59928.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59928: a Harshad number: divisible by its digit sum 33.
- 2
59928 is composite. Its prime factorisation is
- 3
The divisors add up to 164160; without 59928 itself that is 104232, so 59928 is abundant (104232 is more than 59928). Euler's totient φ(59928) = 18080 numbers up to 59928 share no factor with it.
- 4
The digits of 59928 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59928 = 2^{3} \times 3 \times 11 \times 227 \]59928 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 164160 |
| Euler totient φ(n) | 18080 |
| Square | 3591365184 |
| Cube | 215223332746752 |
| Square root | 244.801961 (= 2√14982) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.9928 × |
59928 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and twenty-eight |
| Binary (base 2) | 1110101000011000 |
| Octal (base 8) | 165030 |
| Hexadecimal (base 16) | EA18 |
| Base 3 | 10001012120 |
| As time | 59928 seconds = 16 h 38 min 48 s |
Is 59928 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59928 ÷ 2 = 29964) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59928 ÷ 3 = 19976) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59928 ÷ 4 = 14982) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (59928 ÷ 6 = 9988) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (59928 ÷ 8 = 7491) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (59928 ÷ 11 = 5448) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (59928 ÷ 12 = 4994) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59928 a prime number?
No. 59928 = × 3 × 11 × 227, so it is divisible by 2.
What are the factors of 59928?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 227, 264, 454, 681, 908, 1362, 1816, 2497, 2724, 4994, 5448, 7491, 9988, 14982, 19976, 29964, 59928.
What is 59928 in binary?
1110101000011000 (hexadecimal EA18, octal 165030).
What is the square root of 59928?
About 244.8020, exactly 2√14982.
Is 59928 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 59928?
59928 is a Harshad number: divisible by its digit sum 33.