The number 60978
60978 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 10163. Divisors (8): 1, 2, 3, 6, 10163, 20326, 30489, 60978.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60978: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60978 is composite. Its prime factorisation is
- 3
The divisors add up to 121968; without 60978 itself that is 60990, so 60978 is abundant (60990 is more than 60978). Euler's totient φ(60978) = 20324 numbers up to 60978 share no factor with it.
- 4
The digits of 60978 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60978 = 2 \times 3 \times 10163 \]
60978 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 121968 |
| Euler totient φ(n) | 20324 |
| Square | 3718316484 |
| Cube | 226735502561352 |
| Square root | 246.937239 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.0978 × |
60978 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand nine hundred and seventy-eight |
| Binary (base 2) | 1110111000110010 |
| Octal (base 8) | 167062 |
| Hexadecimal (base 16) | EE32 |
| Base 3 | 10002122110 |
| As time | 60978 seconds = 16 h 56 min 18 s |
Is 60978 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60978 ÷ 2 = 30489) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60978 ÷ 3 = 20326) | 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 (60978 ÷ 6 = 10163) | 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 | No (remainder 2) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 60978 a prime number?
No. 60978 = 2 × 3 × 10163, so it is divisible by 2.
What are the factors of 60978?
1, 2, 3, 6, 10163, 20326, 30489, 60978.
What is 60978 in binary?
1110111000110010 (hexadecimal EE32, octal 167062).
What is the square root of 60978?
About 246.9372.
Is 60978 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 60978?
60978 is a happy number: repeatedly adding the squares of its digits reaches 1.