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The number 26409

26409 is a composite number with 4 divisors. Its prime factorisation is 3 × 8803. Divisors (4): 1, 3, 8803, 26409.

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How to work it out

  1. 1

    What is special about 26409: a semiprime: 3 × 8803, the product of two primes.

  2. 2

    26409 is composite. Its prime factorisation is

    26409=3×880326409 = 3 \times 8803
  3. 3

    The divisors add up to 35216; without 26409 itself that is 8807, so 26409 is deficient (8807 is less than 26409). Euler's totient φ(26409) = 17604 numbers up to 26409 share no factor with it.

  4. 4

    The digits of 26409 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.

LaTeX source of the formulas on this page
\[ 26409 = 3 \times 8803 \]

26409 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors35216
Euler totient φ(n)17604
Square697435281
Cube18418568335929
Square root162.508461
Digit sum / digital root21 / 3
Collatz steps to 177
Scientific notation2.6409 × 10410^{4}

26409 in other forms

FormValue
In wordstwenty-six thousand four hundred and nine
Binary (base 2)110011100101001
Octal (base 8)63451
Hexadecimal (base 16)6729
Base 31100020010
As time26409 seconds = 7 h 20 min 9 s

Is 26409 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 (26409 ÷ 3 = 8803)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 4)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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)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 9)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 26409 a prime number?

No. 26409 = 3 × 8803, so it is divisible by 3.

What are the factors of 26409?

1, 3, 8803, 26409.

What is 26409 in binary?

110011100101001 (hexadecimal 6729, octal 63451).

What is the square root of 26409?

About 162.5085.

Is 26409 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 26409?

26409 is a semiprime: 3 × 8803, the product of two primes.

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