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The number 5454

5454 is a composite number with 16 divisors. Its prime factorisation is 2 × 333^{3} × 101. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 101, 202, 303, 606, 909, 1818, 2727, 5454.

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How to work it out

  1. 1

    What is special about 5454: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.

  2. 2

    5454 is composite. Its prime factorisation is

    5454=2×33×1015454 = 2 \times 3^{3} \times 101
  3. 3

    The divisors add up to 12240; without 5454 itself that is 6786, so 5454 is abundant (6786 is more than 5454). Euler's totient φ(5454) = 1800 numbers up to 5454 share no factor with it.

  4. 4

    The digits of 5454 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 129 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5454 = 2 \times 3^{3} \times 101 \]

5454 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors12240
Euler totient φ(n)1800
Square29746116
Cube162235316664
Square root73.851202 (= 3√606)
Digit sum / digital root18 / 9
Collatz steps to 1129
Scientific notation5.454 × 10310^{3}

5454 in other forms

FormValue
In wordsfive thousand four hundred and fifty-four
Binary (base 2)1010101001110
Octal (base 8)12516
Hexadecimal (base 16)154E
Base 321111000
As time5454 seconds = 1 h 30 min 54 s

Is 5454 divisible by 2 to 12?

DivisorAnswerRule
2Yes (5454 ÷ 2 = 2727)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (5454 ÷ 3 = 1818)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 4)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (5454 ÷ 6 = 909)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (5454 ÷ 9 = 606)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)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 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5454 a prime number?

No. 5454 = 2 × 333^{3} × 101, so it is divisible by 2.

What are the factors of 5454?

1, 2, 3, 6, 9, 18, 27, 54, 101, 202, 303, 606, 909, 1818, 2727, 5454.

What is 5454 in binary?

1010101001110 (hexadecimal 154E, octal 12516).

What is the square root of 5454?

About 73.8512, exactly 3√606.

Is 5454 divisible by 3?

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

What is special about the number 5454?

5454 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.

All about 5454

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