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The number 5474

5474 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 17 × 23. Divisors (16): 1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474.

Number

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How to work it out

  1. 1

    5474 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

    5474 is composite. Its prime factorisation is

    5474=2×7×17×235474 = 2 \times 7 \times 17 \times 23
  3. 3

    The divisors add up to 10368; without 5474 itself that is 4894, so 5474 is deficient (4894 is less than 5474). Euler's totient φ(5474) = 2112 numbers up to 5474 share no factor with it.

  4. 4

    The digits of 5474 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 41 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5474 = 2 \times 7 \times 17 \times 23 \]

5474 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors10368
Euler totient φ(n)2112
Square29964676
Cube164026636424
Square root73.986485
Digit sum / digital root20 / 2
Collatz steps to 141
Scientific notation5.474 × 10310^{3}

5474 in other forms

FormValue
In wordsfive thousand four hundred and seventy-four
Binary (base 2)1010101100010
Octal (base 8)12542
Hexadecimal (base 16)1562
Base 321111202
As time5474 seconds = 1 h 31 min 14 s

Is 5474 divisible by 2 to 12?

DivisorAnswerRule
2Yes (5474 ÷ 2 = 2737)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.
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.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (5474 ÷ 7 = 782)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 2)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 4)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 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5474 a prime number?

No. 5474 = 2 × 7 × 17 × 23, so it is divisible by 2.

What are the factors of 5474?

1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474.

What is 5474 in binary?

1010101100010 (hexadecimal 1562, octal 12542).

What is the square root of 5474?

About 73.9865.

Is 5474 divisible by 3?

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

What is special about the number 5474?

It is a composite number with 16 divisors.

All about 5474

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    5474: is it prime? Factors, square root, binary, Roman numeral | WordGPT