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The number 27489

27489 is a composite number with 24 divisors. Its prime factorisation is 3 × 727^{2} × 11 × 17. Divisors (24): 1, 3, 7, 11, 17, 21, 33, 49, 51, 77, 119, 147, 187, 231, 357, 539 … 27489.

Number

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How to work it out

  1. 1

    27489 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

    27489 is composite. Its prime factorisation is

    27489=3×72×11×1727489 = 3 \times 7^{2} \times 11 \times 17
  3. 3

    The divisors add up to 49248; without 27489 itself that is 21759, so 27489 is deficient (21759 is less than 27489). Euler's totient φ(27489) = 13440 numbers up to 27489 share no factor with it.

  4. 4

    The digits of 27489 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27489 = 3 \times 7^{2} \times 11 \times 17 \]

27489 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors49248
Euler totient φ(n)13440
Square755645121
Cube20771928731169
Square root165.798070 (= 7√561)
Digit sum / digital root30 / 3
Collatz steps to 1139
Scientific notation2.7489 × 10410^{4}

27489 in other forms

FormValue
In wordstwenty-seven thousand four hundred and eighty-nine
Binary (base 2)110101101100001
Octal (base 8)65541
Hexadecimal (base 16)6B61
Base 31101201010
As time27489 seconds = 7 h 38 min 9 s

Is 27489 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 (27489 ÷ 3 = 9163)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.
7Yes (27489 ÷ 7 = 3927)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.
11Yes (27489 ÷ 11 = 2499)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 27489 a prime number?

No. 27489 = 3 × 727^{2} × 11 × 17, so it is divisible by 3.

What are the factors of 27489?

1, 3, 7, 11, 17, 21, 33, 49, 51, 77, 119, 147, 187, 231, 357, 539, 561, 833, 1309, 1617, 2499, 3927, 9163, 27489.

What is 27489 in binary?

110101101100001 (hexadecimal 6B61, octal 65541).

What is the square root of 27489?

About 165.7981, exactly 7√561.

Is 27489 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 27489?

It is a composite number with 24 divisors.

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