The number 60378
60378 is a triangular number: 1 + 2 + … + 347 = 60378. Its prime factorisation is 2 × 3 × 29 × 347. Divisors (16): 1, 2, 3, 6, 29, 58, 87, 174, 347, 694, 1041, 2082, 10063, 20126, 30189, 60378.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60378: a triangular number: 1 + 2 + … + 347 = 60378.
- 2
60378 is composite. Its prime factorisation is
- 3
The divisors add up to 125280; without 60378 itself that is 64902, so 60378 is abundant (64902 is more than 60378). Euler's totient φ(60378) = 19376 numbers up to 60378 share no factor with it.
- 4
The digits of 60378 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60378 = 2 \times 3 \times 29 \times 347 \]
60378 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 125280 |
| Euler totient φ(n) | 19376 |
| Square | 3645502884 |
| Cube | 220108173130152 |
| Square root | 245.719352 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.0378 × |
60378 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand three hundred and seventy-eight |
| Binary (base 2) | 1110101111011010 |
| Octal (base 8) | 165732 |
| Hexadecimal (base 16) | EBDA |
| Base 3 | 10001211020 |
| As time | 60378 seconds = 16 h 46 min 18 s |
Is 60378 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60378 ÷ 2 = 30189) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60378 ÷ 3 = 20126) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (60378 ÷ 6 = 10063) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | 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 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60378 a prime number?
No. 60378 = 2 × 3 × 29 × 347, so it is divisible by 2.
What are the factors of 60378?
1, 2, 3, 6, 29, 58, 87, 174, 347, 694, 1041, 2082, 10063, 20126, 30189, 60378.
What is 60378 in binary?
1110101111011010 (hexadecimal EBDA, octal 165732).
What is the square root of 60378?
About 245.7194.
Is 60378 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 60378?
60378 is a triangular number: 1 + 2 + … + 347 = 60378.