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The number 55026

55026 is a composite number with 16 divisors. Its prime factorisation is 2 × 333^{3} × 1019. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1019, 2038, 3057, 6114, 9171, 18342, 27513, 55026.

Number

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How to work it out

  1. 1

    What is special about 55026: a Harshad number: divisible by its digit sum 18.

  2. 2

    55026 is composite. Its prime factorisation is

    55026=2×33×101955026 = 2 \times 3^{3} \times 1019
  3. 3

    The divisors add up to 122400; without 55026 itself that is 67374, so 55026 is abundant (67374 is more than 55026). Euler's totient φ(55026) = 18324 numbers up to 55026 share no factor with it.

  4. 4

    The digits of 55026 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55026 = 2 \times 3^{3} \times 1019 \]

55026 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors122400
Euler totient φ(n)18324
Square3027860676
Cube166611061557576
Square root234.576214 (= 3√6114)
Digit sum / digital root18 / 9
Collatz steps to 1184
Scientific notation5.5026 × 10410^{4}

55026 in other forms

FormValue
In wordsfifty-five thousand and twenty-six
Binary (base 2)1101011011110010
Octal (base 8)153362
Hexadecimal (base 16)D6F2
Base 32210111000
As time55026 seconds = 15 h 17 min 6 s

Is 55026 divisible by 2 to 12?

DivisorAnswerRule
2Yes (55026 ÷ 2 = 27513)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (55026 ÷ 3 = 18342)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (55026 ÷ 6 = 9171)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (55026 ÷ 9 = 6114)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55026 a prime number?

No. 55026 = 2 × 333^{3} × 1019, so it is divisible by 2.

What are the factors of 55026?

1, 2, 3, 6, 9, 18, 27, 54, 1019, 2038, 3057, 6114, 9171, 18342, 27513, 55026.

What is 55026 in binary?

1101011011110010 (hexadecimal D6F2, octal 153362).

What is the square root of 55026?

About 234.5762, exactly 3√6114.

Is 55026 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 55026?

55026 is a Harshad number: divisible by its digit sum 18.

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