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The number 53231

53231 is a twin prime (53231 and 53233 are both prime) and the 5430th prime number. Its only divisors are 1 and 53231.

Number

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How to work it out

  1. 1

    What is special about 53231: a twin prime (53231 and 53233 are both prime); the 5430th prime number.

  2. 2

    53231 is prime, so its only factors are 1 and 53231. It is the 5430th prime; the next prime is 53233 and the one before is 53201.

  3. 3

    The divisors add up to 53232; without 53231 itself that is 1, so 53231 is deficient (1 is less than 53231). Euler's totient φ(53231) = 53230 numbers up to 53231 share no factor with it.

  4. 4

    The digits of 53231 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.

53231 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors53232
Euler totient φ(n)53230
Square2833539361
Cube150832133725391
Square root230.718443
Digit sum / digital root14 / 5
Collatz steps to 178
Scientific notation5.3231 × 10410^{4}

53231 in other forms

FormValue
In wordsfifty-three thousand two hundred and thirty-one
Binary (base 2)1100111111101111
Octal (base 8)147757
Hexadecimal (base 16)CFEF
Base 32201000112
As time53231 seconds = 14 h 47 min 11 s

Is 53231 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 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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 5)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 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 53231 a prime number?

Yes. 53231 is divisible only by 1 and itself.

What are the factors of 53231?

1, 53231.

What is 53231 in binary?

1100111111101111 (hexadecimal CFEF, octal 147757).

What is the square root of 53231?

About 230.7184.

Is 53231 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 53231?

53231 is a twin prime (53231 and 53233 are both prime); the 5430th prime number.

All about 53231

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