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The number 38479

38479 is a composite number with 8 divisors. Its prime factorisation is 7 × 23 × 239. Divisors (8): 1, 7, 23, 161, 239, 1673, 5497, 38479.

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How to work it out

  1. 1

    What is special about 38479: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    38479 is composite. Its prime factorisation is

    38479=7×23×23938479 = 7 \times 23 \times 239
  3. 3

    The divisors add up to 46080; without 38479 itself that is 7601, so 38479 is deficient (7601 is less than 38479). Euler's totient φ(38479) = 31416 numbers up to 38479 share no factor with it.

  4. 4

    The digits of 38479 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38479 = 7 \times 23 \times 239 \]

38479 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors46080
Euler totient φ(n)31416
Square1480633441
Cube56973294176239
Square root196.160648
Digit sum / digital root31 / 4
Collatz steps to 1168
Scientific notation3.8479 × 10410^{4}

38479 in other forms

FormValue
In wordsthirty-eight thousand four hundred and seventy-nine
Binary (base 2)1001011001001111
Octal (base 8)113117
Hexadecimal (base 16)964F
Base 31221210011
As time38479 seconds = 10 h 41 min 19 s

Is 38479 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 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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (38479 ÷ 7 = 5497)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.
9No (remainder 4)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 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 38479 a prime number?

No. 38479 = 7 × 23 × 239, so it is divisible by 7.

What are the factors of 38479?

1, 7, 23, 161, 239, 1673, 5497, 38479.

What is 38479 in binary?

1001011001001111 (hexadecimal 964F, octal 113117).

What is the square root of 38479?

About 196.1606.

Is 38479 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 38479?

38479 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    38479: is it prime? Factors, square root, binary, Roman numeral | WordGPT