The number 60312
60312 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 359. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 … 60312.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60312: a Harshad number: divisible by its digit sum 12.
- 2
60312 is composite. Its prime factorisation is
- 3
The divisors add up to 172800; without 60312 itself that is 112488, so 60312 is abundant (112488 is more than 60312). Euler's totient φ(60312) = 17184 numbers up to 60312 share no factor with it.
- 4
The digits of 60312 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60312 = 2^{3} \times 3 \times 7 \times 359 \]60312 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 172800 |
| Euler totient φ(n) | 17184 |
| Square | 3637537344 |
| Cube | 219387152291328 |
| Square root | 245.585016 (= 2√15078) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.0312 × |
60312 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand three hundred and twelve |
| Binary (base 2) | 1110101110011000 |
| Octal (base 8) | 165630 |
| Hexadecimal (base 16) | EB98 |
| Base 3 | 10001201210 |
| As time | 60312 seconds = 16 h 45 min 12 s |
Is 60312 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60312 ÷ 2 = 30156) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60312 ÷ 3 = 20104) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60312 ÷ 4 = 15078) | 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 | Yes (60312 ÷ 6 = 10052) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (60312 ÷ 7 = 8616) | 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 (60312 ÷ 8 = 7539) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60312 ÷ 12 = 5026) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60312 a prime number?
No. 60312 = × 3 × 7 × 359, so it is divisible by 2.
What are the factors of 60312?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 359, 718, 1077, 1436, 2154, 2513, 2872, 4308, 5026, 7539, 8616, 10052, 15078, 20104, 30156, 60312.
What is 60312 in binary?
1110101110011000 (hexadecimal EB98, octal 165630).
What is the square root of 60312?
About 245.5850, exactly 2√15078.
Is 60312 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 60312?
60312 is a Harshad number: divisible by its digit sum 12.