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The number 5492

5492 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 1373. Divisors (6): 1, 2, 4, 1373, 2746, 5492.

Number

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How to work it out

  1. 1

    5492 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    5492 is composite. Its prime factorisation is

    5492=22×13735492 = 2^{2} \times 1373
  3. 3

    The divisors add up to 9618; without 5492 itself that is 4126, so 5492 is deficient (4126 is less than 5492). Euler's totient φ(5492) = 2744 numbers up to 5492 share no factor with it.

  4. 4

    The digits of 5492 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5492 = 2^{2} \times 1373 \]

5492 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors9618
Euler totient φ(n)2744
Square30162064
Cube165650055488
Square root74.108029 (= 2√1373)
Digit sum / digital root20 / 2
Collatz steps to 1129
Scientific notation5.492 × 10310^{3}

5492 in other forms

FormValue
In wordsfive thousand four hundred and ninety-two
Binary (base 2)1010101110100
Octal (base 8)12564
Hexadecimal (base 16)1574
Base 321112102
As time5492 seconds = 1 h 31 min 32 s

Is 5492 divisible by 2 to 12?

DivisorAnswerRule
2Yes (5492 ÷ 2 = 2746)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (5492 ÷ 4 = 1373)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 2)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5492 a prime number?

No. 5492 = 222^{2} × 1373, so it is divisible by 2.

What are the factors of 5492?

1, 2, 4, 1373, 2746, 5492.

What is 5492 in binary?

1010101110100 (hexadecimal 1574, octal 12564).

What is the square root of 5492?

About 74.1080, exactly 2√1373.

Is 5492 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 5492?

It is a composite number with 6 divisors.

All about 5492

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