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The number 54621

54621 is a composite number with 24 divisors. Its prime factorisation is 333^{3} × 7 × 17217^{2}. Divisors (24): 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 289, 357, 459, 867 … 54621.

Number

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How to work it out

  1. 1

    What is special about 54621: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    54621 is composite. Its prime factorisation is

    54621=33×7×17254621 = 3^{3} \times 7 \times 17^{2}
  3. 3

    The divisors add up to 98240; without 54621 itself that is 43619, so 54621 is deficient (43619 is less than 54621). Euler's totient φ(54621) = 29376 numbers up to 54621 share no factor with it.

  4. 4

    The digits of 54621 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
\[ 54621 = 3^{3} \times 7 \times 17^{2} \]

54621 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors98240
Euler totient φ(n)29376
Square2983453641
Cube162959221325061
Square root233.711360 (= 51√21)
Digit sum / digital root18 / 9
Collatz steps to 1184
Scientific notation5.4621 × 10410^{4}

54621 in other forms

FormValue
In wordsfifty-four thousand six hundred and twenty-one
Binary (base 2)1101010101011101
Octal (base 8)152535
Hexadecimal (base 16)D55D
Base 32202221000
As time54621 seconds = 15 h 10 min 21 s

Is 54621 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 (54621 ÷ 3 = 18207)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 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 (54621 ÷ 7 = 7803)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 (54621 ÷ 9 = 6069)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 6)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 54621 a prime number?

No. 54621 = 333^{3} × 7 × 17217^{2}, so it is divisible by 3.

What are the factors of 54621?

1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 289, 357, 459, 867, 1071, 2023, 2601, 3213, 6069, 7803, 18207, 54621.

What is 54621 in binary?

1101010101011101 (hexadecimal D55D, octal 152535).

What is the square root of 54621?

About 233.7114, exactly 51√21.

Is 54621 divisible by 3?

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

What is special about the number 54621?

54621 is a happy number: repeatedly adding the squares of its digits reaches 1.

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