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The number 49679

49679 is a composite number with 8 divisors. Its prime factorisation is 7 × 47 × 151. Divisors (8): 1, 7, 47, 151, 329, 1057, 7097, 49679.

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How to work it out

  1. 1

    What is special about 49679: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    49679 is composite. Its prime factorisation is

    49679=7×47×15149679 = 7 \times 47 \times 151
  3. 3

    The divisors add up to 58368; without 49679 itself that is 8689, so 49679 is deficient (8689 is less than 49679). Euler's totient φ(49679) = 41400 numbers up to 49679 share no factor with it.

  4. 4

    The digits of 49679 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49679 = 7 \times 47 \times 151 \]

49679 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors58368
Euler totient φ(n)41400
Square2468003041
Cube122607923073839
Square root222.887864
Digit sum / digital root35 / 8
Collatz steps to 1140
Scientific notation4.9679 × 10410^{4}

49679 in other forms

FormValue
In wordsforty-nine thousand six hundred and seventy-nine
Binary (base 2)1100001000001111
Octal (base 8)141017
Hexadecimal (base 16)C20F
Base 32112010222
As time49679 seconds = 13 h 47 min 59 s

Is 49679 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 2)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (49679 ÷ 7 = 7097)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 8)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 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49679 a prime number?

No. 49679 = 7 × 47 × 151, so it is divisible by 7.

What are the factors of 49679?

1, 7, 47, 151, 329, 1057, 7097, 49679.

What is 49679 in binary?

1100001000001111 (hexadecimal C20F, octal 141017).

What is the square root of 49679?

About 222.8879.

Is 49679 divisible by 3?

No. Its digits add up to 35, which is not a multiple of 3.

What is special about the number 49679?

49679 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    49679: is it prime? Factors, square root, binary, Roman numeral | WordGPT