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The number 61231

61231 is the 6163rd prime number. Its only divisors are 1 and 61231.

Number

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How to work it out

  1. 1

    What is special about 61231: the 6163rd prime number.

  2. 2

    61231 is prime, so its only factors are 1 and 61231. It is the 6163rd prime; the next prime is 61253 and the one before is 61223.

  3. 3

    The divisors add up to 61232; without 61231 itself that is 1, so 61231 is deficient (1 is less than 61231). Euler's totient φ(61231) = 61230 numbers up to 61231 share no factor with it.

  4. 4

    The digits of 61231 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.

61231 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors61232
Euler totient φ(n)61230
Square3749235361
Cube229569430389391
Square root247.448985
Digit sum / digital root13 / 4
Collatz steps to 1179
Scientific notation6.1231 × 10410^{4}

61231 in other forms

FormValue
In wordssixty-one thousand two hundred and thirty-one
Binary (base 2)1110111100101111
Octal (base 8)167457
Hexadecimal (base 16)EF2F
Base 310002222211
As time61231 seconds = 17 h 0 min 31 s

Is 61231 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 2)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 4)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 5)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 61231 a prime number?

Yes. 61231 is divisible only by 1 and itself.

What are the factors of 61231?

1, 61231.

What is 61231 in binary?

1110111100101111 (hexadecimal EF2F, octal 167457).

What is the square root of 61231?

About 247.4490.

Is 61231 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 61231?

61231 is the 6163rd prime number.

All about 61231

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