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The number 60821

60821 is the 6131st prime number. Its only divisors are 1 and 60821.

Number

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How to work it out

  1. 1

    What is special about 60821: the 6131st prime number.

  2. 2

    60821 is prime, so its only factors are 1 and 60821. It is the 6131st prime; the next prime is 60859 and the one before is 60811.

  3. 3

    The divisors add up to 60822; without 60821 itself that is 1, so 60821 is deficient (1 is less than 60821). Euler's totient φ(60821) = 60820 numbers up to 60821 share no factor with it.

  4. 4

    The digits of 60821 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.

60821 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors60822
Euler totient φ(n)60820
Square3699194041
Cube224988680767661
Square root246.619140
Digit sum / digital root17 / 8
Collatz steps to 134
Scientific notation6.0821 × 10410^{4}

60821 in other forms

FormValue
In wordssixty thousand eight hundred and twenty-one
Binary (base 2)1110110110010101
Octal (base 8)166625
Hexadecimal (base 16)ED95
Base 310002102122
As time60821 seconds = 16 h 53 min 41 s

Is 60821 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 1)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 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.
8No (remainder 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)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 60821 a prime number?

Yes. 60821 is divisible only by 1 and itself.

What are the factors of 60821?

1, 60821.

What is 60821 in binary?

1110110110010101 (hexadecimal ED95, octal 166625).

What is the square root of 60821?

About 246.6191.

Is 60821 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 60821?

60821 is the 6131st prime number.

All about 60821

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    60821: is it prime? Factors, square root, binary, Roman numeral | WordGPT