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The number 12059

12059 is a composite number with 4 divisors. Its prime factorisation is 31 × 389. Divisors (4): 1, 31, 389, 12059.

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How to work it out

  1. 1

    What is special about 12059: a semiprime: 31 × 389, the product of two primes.

  2. 2

    12059 is composite. Its prime factorisation is

    12059=31×38912059 = 31 \times 389
  3. 3

    The divisors add up to 12480; without 12059 itself that is 421, so 12059 is deficient (421 is less than 12059). Euler's totient φ(12059) = 11640 numbers up to 12059 share no factor with it.

  4. 4

    The digits of 12059 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.

LaTeX source of the formulas on this page
\[ 12059 = 31 \times 389 \]

12059 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors12480
Euler totient φ(n)11640
Square145419481
Cube1753613521379
Square root109.813478
Digit sum / digital root17 / 8
Collatz steps to 1187
Scientific notation1.2059 × 10410^{4}

12059 in other forms

FormValue
In wordstwelve thousand and fifty-nine
Binary (base 2)10111100011011
Octal (base 8)27433
Hexadecimal (base 16)2F1B
Base 3121112122
As time12059 seconds = 3 h 20 min 59 s

Is 12059 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 4)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 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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 3)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 12059 a prime number?

No. 12059 = 31 × 389, so it is divisible by 31.

What are the factors of 12059?

1, 31, 389, 12059.

What is 12059 in binary?

10111100011011 (hexadecimal 2F1B, octal 27433).

What is the square root of 12059?

About 109.8135.

Is 12059 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 12059?

12059 is a semiprime: 31 × 389, the product of two primes.

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    12059: is it prime? Factors, square root, binary, Roman numeral | WordGPT