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The number 79316

79316 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 79 × 251. Divisors (12): 1, 2, 4, 79, 158, 251, 316, 502, 1004, 19829, 39658, 79316.

Number

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How to work it out

  1. 1

    What is special about 79316: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    79316 is composite. Its prime factorisation is

    79316=22×79×25179316 = 2^{2} \times 79 \times 251
  3. 3

    The divisors add up to 141120; without 79316 itself that is 61804, so 79316 is deficient (61804 is less than 79316). Euler's totient φ(79316) = 39000 numbers up to 79316 share no factor with it.

  4. 4

    The digits of 79316 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.

LaTeX source of the formulas on this page
\[ 79316 = 2^{2} \times 79 \times 251 \]

79316 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors141120
Euler totient φ(n)39000
Square6291027856
Cube498979165426496
Square root281.630964 (= 2√19829)
Digit sum / digital root26 / 8
Collatz steps to 1138
Scientific notation7.9316 × 10410^{4}

79316 in other forms

FormValue
In wordsseventy-nine thousand three hundred and sixteen
Binary (base 2)10011010111010100
Octal (base 8)232724
Hexadecimal (base 16)135D4
Base 311000210122
As time79316 seconds = 22 h 1 min 56 s

Is 79316 divisible by 2 to 12?

DivisorAnswerRule
2Yes (79316 ÷ 2 = 39658)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 (79316 ÷ 4 = 19829)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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 6)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 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)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 79316 a prime number?

No. 79316 = 222^{2} × 79 × 251, so it is divisible by 2.

What are the factors of 79316?

1, 2, 4, 79, 158, 251, 316, 502, 1004, 19829, 39658, 79316.

What is 79316 in binary?

10011010111010100 (hexadecimal 135D4, octal 232724).

What is the square root of 79316?

About 281.6310, exactly 2√19829.

Is 79316 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 79316?

79316 is a happy number: repeatedly adding the squares of its digits reaches 1.

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