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The number 26027

26027 is a composite number with 4 divisors. Its prime factorisation is 17 × 1531. Divisors (4): 1, 17, 1531, 26027.

Number

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How to work it out

  1. 1

    What is special about 26027: a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 1531, the product of two primes.

  2. 2

    26027 is composite. Its prime factorisation is

    26027=17×153126027 = 17 \times 1531
  3. 3

    The divisors add up to 27576; without 26027 itself that is 1549, so 26027 is deficient (1549 is less than 26027). Euler's totient φ(26027) = 24480 numbers up to 26027 share no factor with it.

  4. 4

    The digits of 26027 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 126 steps to reach 1.

LaTeX source of the formulas on this page
\[ 26027 = 17 \times 1531 \]

26027 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors27576
Euler totient φ(n)24480
Square677404729
Cube17630812881683
Square root161.328857
Digit sum / digital root17 / 8
Collatz steps to 1126
Scientific notation2.6027 × 10410^{4}

26027 in other forms

FormValue
In wordstwenty-six thousand and twenty-seven
Binary (base 2)110010110101011
Octal (base 8)62653
Hexadecimal (base 16)65AB
Base 31022200222
As time26027 seconds = 7 h 13 min 47 s

Is 26027 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 2)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 1)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 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)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 26027 a prime number?

No. 26027 = 17 × 1531, so it is divisible by 17.

What are the factors of 26027?

1, 17, 1531, 26027.

What is 26027 in binary?

110010110101011 (hexadecimal 65AB, octal 62653).

What is the square root of 26027?

About 161.3289.

Is 26027 divisible by 3?

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

What is special about the number 26027?

26027 is a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 1531, the product of two primes.

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