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The number 60271

60271 is the 6083rd prime number. Its only divisors are 1 and 60271.

Number

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How to work it out

  1. 1

    What is special about 60271: the 6083rd prime number.

  2. 2

    60271 is prime, so its only factors are 1 and 60271. It is the 6083rd prime; the next prime is 60289 and the one before is 60259.

  3. 3

    The divisors add up to 60272; without 60271 itself that is 1, so 60271 is deficient (1 is less than 60271). Euler's totient φ(60271) = 60270 numbers up to 60271 share no factor with it.

  4. 4

    The digits of 60271 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.

60271 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors60272
Euler totient φ(n)60270
Square3632593441
Cube218940039282511
Square root245.501527
Digit sum / digital root16 / 7
Collatz steps to 173
Scientific notation6.0271 × 10410^{4}

60271 in other forms

FormValue
In wordssixty thousand two hundred and seventy-one
Binary (base 2)1110101101101111
Octal (base 8)165557
Hexadecimal (base 16)EB6F
Base 310001200021
As time60271 seconds = 16 h 44 min 31 s

Is 60271 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 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (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.
8No (remainder 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60271 a prime number?

Yes. 60271 is divisible only by 1 and itself.

What are the factors of 60271?

1, 60271.

What is 60271 in binary?

1110101101101111 (hexadecimal EB6F, octal 165557).

What is the square root of 60271?

About 245.5015.

Is 60271 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 60271?

60271 is the 6083rd prime number.

All about 60271

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    60271: is it prime? Factors, square root, binary, Roman numeral | WordGPT