The number 60352
60352 is a composite number with 28 divisors. Its prime factorisation is × 23 × 41. Divisors (28): 1, 2, 4, 8, 16, 23, 32, 41, 46, 64, 82, 92, 164, 184, 328, 368 … 60352.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60352: a Harshad number: divisible by its digit sum 16.
- 2
60352 is composite. Its prime factorisation is
- 3
The divisors add up to 128016; without 60352 itself that is 67664, so 60352 is abundant (67664 is more than 60352). Euler's totient φ(60352) = 28160 numbers up to 60352 share no factor with it.
- 4
The digits of 60352 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60352 = 2^{6} \times 23 \times 41 \]60352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 128016 |
| Euler totient φ(n) | 28160 |
| Square | 3642363904 |
| Cube | 219823946334208 |
| Square root | 245.666441 (= 8√943) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.0352 × |
60352 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand three hundred and fifty-two |
| Binary (base 2) | 1110101111000000 |
| Octal (base 8) | 165700 |
| Hexadecimal (base 16) | EBC0 |
| Base 3 | 10001210021 |
| As time | 60352 seconds = 16 h 45 min 52 s |
Is 60352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60352 ÷ 2 = 30176) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60352 ÷ 4 = 15088) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (60352 ÷ 8 = 7544) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60352 a prime number?
No. 60352 = × 23 × 41, so it is divisible by 2.
What are the factors of 60352?
1, 2, 4, 8, 16, 23, 32, 41, 46, 64, 82, 92, 164, 184, 328, 368, 656, 736, 943, 1312, 1472, 1886, 2624, 3772, 7544, 15088, 30176, 60352.
What is 60352 in binary?
1110101111000000 (hexadecimal EBC0, octal 165700).
What is the square root of 60352?
About 245.6664, exactly 8√943.
Is 60352 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 60352?
60352 is a Harshad number: divisible by its digit sum 16.