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The number 52677

52677 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 1951. Divisors (8): 1, 3, 9, 27, 1951, 5853, 17559, 52677.

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How to work it out

  1. 1

    What is special about 52677: a Harshad number: divisible by its digit sum 27.

  2. 2

    52677 is composite. Its prime factorisation is

    52677=33×195152677 = 3^{3} \times 1951
  3. 3

    The divisors add up to 78080; without 52677 itself that is 25403, so 52677 is deficient (25403 is less than 52677). Euler's totient φ(52677) = 35100 numbers up to 52677 share no factor with it.

  4. 4

    The digits of 52677 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 140 steps to reach 1.

LaTeX source of the formulas on this page
\[ 52677 = 3^{3} \times 1951 \]

52677 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors78080
Euler totient φ(n)35100
Square2774866329
Cube146171633612733
Square root229.514705 (= 3√5853)
Digit sum / digital root27 / 9
Collatz steps to 1140
Scientific notation5.2677 × 10410^{4}

52677 in other forms

FormValue
In wordsfifty-two thousand six hundred and seventy-seven
Binary (base 2)1100110111000101
Octal (base 8)146705
Hexadecimal (base 16)CDC5
Base 32200021000
As time52677 seconds = 14 h 37 min 57 s

Is 52677 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 (52677 ÷ 3 = 17559)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 2)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.
9Yes (52677 ÷ 9 = 5853)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)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 52677 a prime number?

No. 52677 = 333^{3} × 1951, so it is divisible by 3.

What are the factors of 52677?

1, 3, 9, 27, 1951, 5853, 17559, 52677.

What is 52677 in binary?

1100110111000101 (hexadecimal CDC5, octal 146705).

What is the square root of 52677?

About 229.5147, exactly 3√5853.

Is 52677 divisible by 3?

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

What is special about the number 52677?

52677 is a Harshad number: divisible by its digit sum 27.

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