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The number 55269

55269 is a composite number with 16 divisors. Its prime factorisation is 333^{3} × 23 × 89. Divisors (16): 1, 3, 9, 23, 27, 69, 89, 207, 267, 621, 801, 2047, 2403, 6141, 18423, 55269.

Number

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How to work it out

  1. 1

    What is special about 55269: a Harshad number: divisible by its digit sum 27.

  2. 2

    55269 is composite. Its prime factorisation is

    55269=33×23×8955269 = 3^{3} \times 23 \times 89
  3. 3

    The divisors add up to 86400; without 55269 itself that is 31131, so 55269 is deficient (31131 is less than 55269). Euler's totient φ(55269) = 34848 numbers up to 55269 share no factor with it.

  4. 4

    The digits of 55269 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55269 = 3^{3} \times 23 \times 89 \]

55269 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors86400
Euler totient φ(n)34848
Square3054662361
Cube168828134030109
Square root235.093598 (= 3√6141)
Digit sum / digital root27 / 9
Collatz steps to 1122
Scientific notation5.5269 × 10410^{4}

55269 in other forms

FormValue
In wordsfifty-five thousand two hundred and sixty-nine
Binary (base 2)1101011111100101
Octal (base 8)153745
Hexadecimal (base 16)D7E5
Base 32210211000
As time55269 seconds = 15 h 21 min 9 s

Is 55269 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 (55269 ÷ 3 = 18423)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 4)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.
9Yes (55269 ÷ 9 = 6141)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 5)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 55269 a prime number?

No. 55269 = 333^{3} × 23 × 89, so it is divisible by 3.

What are the factors of 55269?

1, 3, 9, 23, 27, 69, 89, 207, 267, 621, 801, 2047, 2403, 6141, 18423, 55269.

What is 55269 in binary?

1101011111100101 (hexadecimal D7E5, octal 153745).

What is the square root of 55269?

About 235.0936, exactly 3√6141.

Is 55269 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 55269?

55269 is a Harshad number: divisible by its digit sum 27.

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    55269: is it prime? Factors, square root, binary, Roman numeral | WordGPT