The number 60800
60800 is a composite number with 48 divisors. Its prime factorisation is × × 19. Divisors (48): 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 32, 38, 40, 50, 64, 76 … 60800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60800: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60800 is composite. Its prime factorisation is
- 3
The divisors add up to 158100; without 60800 itself that is 97300, so 60800 is abundant (97300 is more than 60800). Euler's totient φ(60800) = 23040 numbers up to 60800 share no factor with it.
- 4
The digits of 60800 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60800 = 2^{7} \times 5^{2} \times 19 \]60800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 158100 |
| Euler totient φ(n) | 23040 |
| Square | 3696640000 |
| Cube | 224755712000000 |
| Square root | 246.576560 (= 40√38) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 34 |
| Scientific notation | 6.08 × |
60800 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand eight hundred |
| Binary (base 2) | 1110110110000000 |
| Octal (base 8) | 166600 |
| Hexadecimal (base 16) | ED80 |
| Base 3 | 10002101212 |
| As time | 60800 seconds = 16 h 53 min 20 s |
Is 60800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60800 ÷ 2 = 30400) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60800 ÷ 4 = 15200) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60800 ÷ 5 = 12160) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (60800 ÷ 8 = 7600) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (60800 ÷ 10 = 6080) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60800 a prime number?
No. 60800 = × × 19, so it is divisible by 2.
What are the factors of 60800?
1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 32, 38, 40, 50, 64, 76, 80, 95, 100, 128, 152, 160, 190, 200, 304, 320, 380, 400, 475, 608, 640, 760, 800, 950, 1216, 1520, 1600, 1900, 2432, 3040, 3200, 3800, 6080, 7600, 12160, 15200, 30400, 60800.
What is 60800 in binary?
1110110110000000 (hexadecimal ED80, octal 166600).
What is the square root of 60800?
About 246.5766, exactly 40√38.
Is 60800 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 60800?
60800 is a happy number: repeatedly adding the squares of its digits reaches 1.