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The number 38359

38359 is a composite number with 4 divisors. Its prime factorisation is 89 × 431. Divisors (4): 1, 89, 431, 38359.

Number

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How to work it out

  1. 1

    What is special about 38359: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 89 × 431, the product of two primes.

  2. 2

    38359 is composite. Its prime factorisation is

    38359=89×43138359 = 89 \times 431
  3. 3

    The divisors add up to 38880; without 38359 itself that is 521, so 38359 is deficient (521 is less than 38359). Euler's totient φ(38359) = 37840 numbers up to 38359 share no factor with it.

  4. 4

    The digits of 38359 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 199 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38359 = 89 \times 431 \]

38359 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors38880
Euler totient φ(n)37840
Square1471412881
Cube56441926702279
Square root195.854538
Digit sum / digital root28 / 1
Collatz steps to 1199
Scientific notation3.8359 × 10410^{4}

38359 in other forms

FormValue
In wordsthirty-eight thousand three hundred and fifty-nine
Binary (base 2)1001010111010111
Octal (base 8)112727
Hexadecimal (base 16)95D7
Base 31221121201
As time38359 seconds = 10 h 39 min 19 s

Is 38359 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 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 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 7)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 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 38359 a prime number?

No. 38359 = 89 × 431, so it is divisible by 89.

What are the factors of 38359?

1, 89, 431, 38359.

What is 38359 in binary?

1001010111010111 (hexadecimal 95D7, octal 112727).

What is the square root of 38359?

About 195.8545.

Is 38359 divisible by 3?

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

What is special about the number 38359?

38359 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 89 × 431, the product of two primes.

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    38359: is it prime? Factors, square root, binary, Roman numeral | WordGPT