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The number 71483

71483 is the 7082nd prime number. Its only divisors are 1 and 71483.

Number

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How to work it out

  1. 1

    What is special about 71483: the 7082nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    71483 is prime, so its only factors are 1 and 71483. It is the 7082nd prime; the next prime is 71503 and the one before is 71479.

  3. 3

    The divisors add up to 71484; without 71483 itself that is 1, so 71483 is deficient (1 is less than 71483). Euler's totient φ(71483) = 71482 numbers up to 71483 share no factor with it.

  4. 4

    The digits of 71483 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 125 steps to reach 1.

71483 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors71484
Euler totient φ(n)71482
Square5109819289
Cube365265212235587
Square root267.363049
Digit sum / digital root23 / 5
Collatz steps to 1125
Scientific notation7.1483 × 10410^{4}

71483 in other forms

FormValue
In wordsseventy-one thousand four hundred and eighty-three
Binary (base 2)10001011100111011
Octal (base 8)213473
Hexadecimal (base 16)1173B
Base 310122001112
As time71483 seconds = 19 h 51 min 23 s

Is 71483 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 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 3)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 5)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 71483 a prime number?

Yes. 71483 is divisible only by 1 and itself.

What are the factors of 71483?

1, 71483.

What is 71483 in binary?

10001011100111011 (hexadecimal 1173B, octal 213473).

What is the square root of 71483?

About 267.3630.

Is 71483 divisible by 3?

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

What is special about the number 71483?

71483 is the 7082nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.

All about 71483

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