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The number 16479

16479 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 1831. Divisors (6): 1, 3, 9, 1831, 5493, 16479.

Number

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How to work it out

  1. 1

    16479 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

    16479 is composite. Its prime factorisation is

    16479=32×183116479 = 3^{2} \times 1831
  3. 3

    The divisors add up to 23816; without 16479 itself that is 7337, so 16479 is deficient (7337 is less than 16479). Euler's totient φ(16479) = 10980 numbers up to 16479 share no factor with it.

  4. 4

    The digits of 16479 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.

LaTeX source of the formulas on this page
\[ 16479 = 3^{2} \times 1831 \]

16479 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors23816
Euler totient φ(n)10980
Square271557441
Cube4474995070239
Square root128.370557 (= 3√1831)
Digit sum / digital root27 / 9
Collatz steps to 1159
Scientific notation1.6479 × 10410^{4}

16479 in other forms

FormValue
In wordssixteen thousand four hundred and seventy-nine
Binary (base 2)100000001011111
Octal (base 8)40137
Hexadecimal (base 16)405F
Base 3211121100
As time16479 seconds = 4 h 34 min 39 s

Is 16479 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 (16479 ÷ 3 = 5493)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)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 3)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (16479 ÷ 9 = 1831)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 16479 a prime number?

No. 16479 = 323^{2} × 1831, so it is divisible by 3.

What are the factors of 16479?

1, 3, 9, 1831, 5493, 16479.

What is 16479 in binary?

100000001011111 (hexadecimal 405F, octal 40137).

What is the square root of 16479?

About 128.3706, exactly 3√1831.

Is 16479 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 16479?

It is a composite number with 6 divisors.

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    16479: is it prime? Factors, square root, binary, Roman numeral | WordGPT