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The number 60773

60773 is the 6127th prime number. Its only divisors are 1 and 60773.

Number

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How to work it out

  1. 1

    What is special about 60773: the 6127th prime number.

  2. 2

    60773 is prime, so its only factors are 1 and 60773. It is the 6127th prime; the next prime is 60779 and the one before is 60763.

  3. 3

    The divisors add up to 60774; without 60773 itself that is 1, so 60773 is deficient (1 is less than 60773). Euler's totient φ(60773) = 60772 numbers up to 60773 share no factor with it.

  4. 4

    The digits of 60773 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.

60773 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors60774
Euler totient φ(n)60772
Square3693357529
Cube224456417109917
Square root246.521804
Digit sum / digital root23 / 5
Collatz steps to 173
Scientific notation6.0773 × 10410^{4}

60773 in other forms

FormValue
In wordssixty thousand seven hundred and seventy-three
Binary (base 2)1110110101100101
Octal (base 8)166545
Hexadecimal (base 16)ED65
Base 310002100212
As time60773 seconds = 16 h 52 min 53 s

Is 60773 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60773 a prime number?

Yes. 60773 is divisible only by 1 and itself.

What are the factors of 60773?

1, 60773.

What is 60773 in binary?

1110110101100101 (hexadecimal ED65, octal 166545).

What is the square root of 60773?

About 246.5218.

Is 60773 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 60773?

60773 is the 6127th prime number.

All about 60773

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    60773: is it prime? Factors, square root, binary, Roman numeral | WordGPT