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The number 35389

35389 is a composite number with 4 divisors. Its prime factorisation is 43 × 823. Divisors (4): 1, 43, 823, 35389.

Number

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How to work it out

  1. 1

    What is special about 35389: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 823, the product of two primes.

  2. 2

    35389 is composite. Its prime factorisation is

    35389=43×82335389 = 43 \times 823
  3. 3

    The divisors add up to 36256; without 35389 itself that is 867, so 35389 is deficient (867 is less than 35389). Euler's totient φ(35389) = 34524 numbers up to 35389 share no factor with it.

  4. 4

    The digits of 35389 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.

LaTeX source of the formulas on this page
\[ 35389 = 43 \times 823 \]

35389 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors36256
Euler totient φ(n)34524
Square1252381321
Cube44320522568869
Square root188.119643
Digit sum / digital root28 / 1
Collatz steps to 180
Scientific notation3.5389 × 10410^{4}

35389 in other forms

FormValue
In wordsthirty-five thousand three hundred and eighty-nine
Binary (base 2)1000101000111101
Octal (base 8)105075
Hexadecimal (base 16)8A3D
Base 31210112201
As time35389 seconds = 9 h 49 min 49 s

Is 35389 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 4)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 1)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 2)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 35389 a prime number?

No. 35389 = 43 × 823, so it is divisible by 43.

What are the factors of 35389?

1, 43, 823, 35389.

What is 35389 in binary?

1000101000111101 (hexadecimal 8A3D, octal 105075).

What is the square root of 35389?

About 188.1196.

Is 35389 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 35389?

35389 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 823, the product of two primes.

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    35389: is it prime? Factors, square root, binary, Roman numeral | WordGPT