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The number 30026

30026 is a composite number with 4 divisors. Its prime factorisation is 2 × 15013. Divisors (4): 1, 2, 15013, 30026.

Number

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How to work it out

  1. 1

    What is special about 30026: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 15013, the product of two primes.

  2. 2

    30026 is composite. Its prime factorisation is

    30026=2×1501330026 = 2 \times 15013
  3. 3

    The divisors add up to 45042; without 30026 itself that is 15016, so 30026 is deficient (15016 is less than 30026). Euler's totient φ(30026) = 15012 numbers up to 30026 share no factor with it.

  4. 4

    The digits of 30026 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.

LaTeX source of the formulas on this page
\[ 30026 = 2 \times 15013 \]

30026 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors45042
Euler totient φ(n)15012
Square901560676
Cube27070260857576
Square root173.280120
Digit sum / digital root11 / 2
Collatz steps to 1165
Scientific notation3.0026 × 10410^{4}

30026 in other forms

FormValue
In wordsthirty thousand and twenty-six
Binary (base 2)111010101001010
Octal (base 8)72512
Hexadecimal (base 16)754A
Base 31112012002
As time30026 seconds = 8 h 20 min 26 s

Is 30026 divisible by 2 to 12?

DivisorAnswerRule
2Yes (30026 ÷ 2 = 15013)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)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 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 30026 a prime number?

No. 30026 = 2 × 15013, so it is divisible by 2.

What are the factors of 30026?

1, 2, 15013, 30026.

What is 30026 in binary?

111010101001010 (hexadecimal 754A, octal 72512).

What is the square root of 30026?

About 173.2801.

Is 30026 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 30026?

30026 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 15013, the product of two primes.

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