The number 60726
60726 is a triangular number: 1 + 2 + … + 348 = 60726. Its prime factorisation is 2 × 3 × 29 × 349. Divisors (16): 1, 2, 3, 6, 29, 58, 87, 174, 349, 698, 1047, 2094, 10121, 20242, 30363, 60726.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60726: a triangular number: 1 + 2 + … + 348 = 60726.
- 2
60726 is composite. Its prime factorisation is
- 3
The divisors add up to 126000; without 60726 itself that is 65274, so 60726 is abundant (65274 is more than 60726). Euler's totient φ(60726) = 19488 numbers up to 60726 share no factor with it.
- 4
The digits of 60726 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 210 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60726 = 2 \times 3 \times 29 \times 349 \]
60726 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 126000 |
| Euler totient φ(n) | 19488 |
| Square | 3687647076 |
| Cube | 223936056337176 |
| Square root | 246.426460 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 210 |
| Scientific notation | 6.0726 × |
60726 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand seven hundred and twenty-six |
| Binary (base 2) | 1110110100110110 |
| Octal (base 8) | 166466 |
| Hexadecimal (base 16) | ED36 |
| Base 3 | 10002022010 |
| As time | 60726 seconds = 16 h 52 min 6 s |
Is 60726 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60726 ÷ 2 = 30363) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60726 ÷ 3 = 20242) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60726 ÷ 6 = 10121) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 60726 a prime number?
No. 60726 = 2 × 3 × 29 × 349, so it is divisible by 2.
What are the factors of 60726?
1, 2, 3, 6, 29, 58, 87, 174, 349, 698, 1047, 2094, 10121, 20242, 30363, 60726.
What is 60726 in binary?
1110110100110110 (hexadecimal ED36, octal 166466).
What is the square root of 60726?
About 246.4265.
Is 60726 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 60726?
60726 is a triangular number: 1 + 2 + … + 348 = 60726.