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The number 41389

41389 is a twin prime (41387 and 41389 are both prime) and the 4331st prime number. Its only divisors are 1 and 41389.

Number

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How to work it out

  1. 1

    What is special about 41389: a twin prime (41387 and 41389 are both prime); the 4331st prime number.

  2. 2

    41389 is prime, so its only factors are 1 and 41389. It is the 4331st prime; the next prime is 41399 and the one before is 41387.

  3. 3

    The divisors add up to 41390; without 41389 itself that is 1, so 41389 is deficient (1 is less than 41389). Euler's totient φ(41389) = 41388 numbers up to 41389 share no factor with it.

  4. 4

    The digits of 41389 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.

41389 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors41390
Euler totient φ(n)41388
Square1713049321
Cube70901398346869
Square root203.442867
Digit sum / digital root25 / 7
Collatz steps to 1137
Scientific notation4.1389 × 10410^{4}

41389 in other forms

FormValue
In wordsforty-one thousand three hundred and eighty-nine
Binary (base 2)1010000110101101
Octal (base 8)120655
Hexadecimal (base 16)A1AD
Base 32002202221
As time41389 seconds = 11 h 29 min 49 s

Is 41389 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)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 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 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 41389 a prime number?

Yes. 41389 is divisible only by 1 and itself.

What are the factors of 41389?

1, 41389.

What is 41389 in binary?

1010000110101101 (hexadecimal A1AD, octal 120655).

What is the square root of 41389?

About 203.4429.

Is 41389 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 41389?

41389 is a twin prime (41387 and 41389 are both prime); the 4331st prime number.

All about 41389

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