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The number 26133

26133 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 281. Divisors (8): 1, 3, 31, 93, 281, 843, 8711, 26133.

Number

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How to work it out

  1. 1

    26133 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    26133 is composite. Its prime factorisation is

    26133=3×31×28126133 = 3 \times 31 \times 281
  3. 3

    The divisors add up to 36096; without 26133 itself that is 9963, so 26133 is deficient (9963 is less than 26133). Euler's totient φ(26133) = 16800 numbers up to 26133 share no factor with it.

  4. 4

    The digits of 26133 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.

LaTeX source of the formulas on this page
\[ 26133 = 3 \times 31 \times 281 \]

26133 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors36096
Euler totient φ(n)16800
Square682933689
Cube17847106094637
Square root161.657044
Digit sum / digital root15 / 6
Collatz steps to 1139
Scientific notation2.6133 × 10410^{4}

26133 in other forms

FormValue
In wordstwenty-six thousand one hundred and thirty-three
Binary (base 2)110011000010101
Octal (base 8)63025
Hexadecimal (base 16)6615
Base 31022211220
As time26133 seconds = 7 h 15 min 33 s

Is 26133 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).
3Yes (26133 ÷ 3 = 8711)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 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 26133 a prime number?

No. 26133 = 3 × 31 × 281, so it is divisible by 3.

What are the factors of 26133?

1, 3, 31, 93, 281, 843, 8711, 26133.

What is 26133 in binary?

110011000010101 (hexadecimal 6615, octal 63025).

What is the square root of 26133?

About 161.6570.

Is 26133 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 26133?

It is a composite number with 8 divisors.

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