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The number 34479

34479 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 1277. Divisors (8): 1, 3, 9, 27, 1277, 3831, 11493, 34479.

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How to work it out

  1. 1

    What is special about 34479: a Harshad number: divisible by its digit sum 27.

  2. 2

    34479 is composite. Its prime factorisation is

    34479=33×127734479 = 3^{3} \times 1277
  3. 3

    The divisors add up to 51120; without 34479 itself that is 16641, so 34479 is deficient (16641 is less than 34479). Euler's totient φ(34479) = 22968 numbers up to 34479 share no factor with it.

  4. 4

    The digits of 34479 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 67 steps to reach 1.

LaTeX source of the formulas on this page
\[ 34479 = 3^{3} \times 1277 \]

34479 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors51120
Euler totient φ(n)22968
Square1188801441
Cube40988684884239
Square root185.685218 (= 3√3831)
Digit sum / digital root27 / 9
Collatz steps to 167
Scientific notation3.4479 × 10410^{4}

34479 in other forms

FormValue
In wordsthirty-four thousand four hundred and seventy-nine
Binary (base 2)1000011010101111
Octal (base 8)103257
Hexadecimal (base 16)86AF
Base 31202022000
As time34479 seconds = 9 h 34 min 39 s

Is 34479 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 (34479 ÷ 3 = 11493)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 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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (34479 ÷ 9 = 3831)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 5)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 34479 a prime number?

No. 34479 = 333^{3} × 1277, so it is divisible by 3.

What are the factors of 34479?

1, 3, 9, 27, 1277, 3831, 11493, 34479.

What is 34479 in binary?

1000011010101111 (hexadecimal 86AF, octal 103257).

What is the square root of 34479?

About 185.6852, exactly 3√3831.

Is 34479 divisible by 3?

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

What is special about the number 34479?

34479 is a Harshad number: divisible by its digit sum 27.

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    34479: is it prime? Factors, square root, binary, Roman numeral | WordGPT