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The number 5485

5485 is a composite number with 4 divisors. Its prime factorisation is 5 × 1097. Divisors (4): 1, 5, 1097, 5485.

Number

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How to work it out

  1. 1

    What is special about 5485: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 1097, the product of two primes.

  2. 2

    5485 is composite. Its prime factorisation is

    5485=5×10975485 = 5 \times 1097
  3. 3

    The divisors add up to 6588; without 5485 itself that is 1103, so 5485 is deficient (1103 is less than 5485). Euler's totient φ(5485) = 4384 numbers up to 5485 share no factor with it.

  4. 4

    The digits of 5485 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5485 = 5 \times 1097 \]

5485 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors6588
Euler totient φ(n)4384
Square30085225
Cube165017459125
Square root74.060786
Digit sum / digital root22 / 4
Collatz steps to 1116
Scientific notation5.485 × 10310^{3}

5485 in other forms

FormValue
In wordsfive thousand four hundred and eighty-five
Binary (base 2)1010101101101
Octal (base 8)12555
Hexadecimal (base 16)156D
Base 321112011
As time5485 seconds = 1 h 31 min 25 s

Is 5485 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).
3No (remainder 1)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.
5Yes (5485 ÷ 5 = 1097)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5485 a prime number?

No. 5485 = 5 × 1097, so it is divisible by 5.

What are the factors of 5485?

1, 5, 1097, 5485.

What is 5485 in binary?

1010101101101 (hexadecimal 156D, octal 12555).

What is the square root of 5485?

About 74.0608.

Is 5485 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 5485?

5485 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 1097, the product of two primes.

All about 5485

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