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The number 54831

54831 is a composite number with 12 divisors. Its prime factorisation is 3 × 727^{2} × 373. Divisors (12): 1, 3, 7, 21, 49, 147, 373, 1119, 2611, 7833, 18277, 54831.

Number

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How to work it out

  1. 1

    What is special about 54831: a Harshad number: divisible by its digit sum 21.

  2. 2

    54831 is composite. Its prime factorisation is

    54831=3×72×37354831 = 3 \times 7^{2} \times 373
  3. 3

    The divisors add up to 85272; without 54831 itself that is 30441, so 54831 is deficient (30441 is less than 54831). Euler's totient φ(54831) = 31248 numbers up to 54831 share no factor with it.

  4. 4

    The digits of 54831 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 184 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54831 = 3 \times 7^{2} \times 373 \]

54831 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors85272
Euler totient φ(n)31248
Square3006438561
Cube164846032738191
Square root234.160202 (= 7√1119)
Digit sum / digital root21 / 3
Collatz steps to 1184
Scientific notation5.4831 × 10410^{4}

54831 in other forms

FormValue
In wordsfifty-four thousand eight hundred and thirty-one
Binary (base 2)1101011000101111
Octal (base 8)153057
Hexadecimal (base 16)D62F
Base 32210012210
As time54831 seconds = 15 h 13 min 51 s

Is 54831 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 (54831 ÷ 3 = 18277)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)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.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (54831 ÷ 7 = 7833)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 7)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 54831 a prime number?

No. 54831 = 3 × 727^{2} × 373, so it is divisible by 3.

What are the factors of 54831?

1, 3, 7, 21, 49, 147, 373, 1119, 2611, 7833, 18277, 54831.

What is 54831 in binary?

1101011000101111 (hexadecimal D62F, octal 153057).

What is the square root of 54831?

About 234.1602, exactly 7√1119.

Is 54831 divisible by 3?

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

What is special about the number 54831?

54831 is a Harshad number: divisible by its digit sum 21.

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