The number 60940
60940 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 277. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 277, 554, 1108, 1385 … 60940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60940: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60940 is composite. Its prime factorisation is
- 3
The divisors add up to 140112; without 60940 itself that is 79172, so 60940 is abundant (79172 is more than 60940). Euler's totient φ(60940) = 22080 numbers up to 60940 share no factor with it.
- 4
The digits of 60940 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60940 = 2^{2} \times 5 \times 11 \times 277 \]60940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 140112 |
| Euler totient φ(n) | 22080 |
| Square | 3713683600 |
| Cube | 226311878584000 |
| Square root | 246.860284 (= 2√15235) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.094 × |
60940 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand nine hundred and forty |
| Binary (base 2) | 1110111000001100 |
| Octal (base 8) | 167014 |
| Hexadecimal (base 16) | EE0C |
| Base 3 | 10002121001 |
| As time | 60940 seconds = 16 h 55 min 40 s |
Is 60940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60940 ÷ 2 = 30470) | 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 (60940 ÷ 4 = 15235) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60940 ÷ 5 = 12188) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (60940 ÷ 10 = 6094) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (60940 ÷ 11 = 5540) | 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 60940 a prime number?
No. 60940 = × 5 × 11 × 277, so it is divisible by 2.
What are the factors of 60940?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 277, 554, 1108, 1385, 2770, 3047, 5540, 6094, 12188, 15235, 30470, 60940.
What is 60940 in binary?
1110111000001100 (hexadecimal EE0C, octal 167014).
What is the square root of 60940?
About 246.8603, exactly 2√15235.
Is 60940 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 60940?
60940 is a happy number: repeatedly adding the squares of its digits reaches 1.