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The number 46979

46979 is a composite number with 4 divisors. Its prime factorisation is 109 × 431. Divisors (4): 1, 109, 431, 46979.

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How to work it out

  1. 1

    What is special about 46979: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 109 × 431, the product of two primes.

  2. 2

    46979 is composite. Its prime factorisation is

    46979=109×43146979 = 109 \times 431
  3. 3

    The divisors add up to 47520; without 46979 itself that is 541, so 46979 is deficient (541 is less than 46979). Euler's totient φ(46979) = 46440 numbers up to 46979 share no factor with it.

  4. 4

    The digits of 46979 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 83 steps to reach 1.

LaTeX source of the formulas on this page
\[ 46979 = 109 \times 431 \]

46979 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors47520
Euler totient φ(n)46440
Square2207026441
Cube103683895171739
Square root216.746396
Digit sum / digital root35 / 8
Collatz steps to 183
Scientific notation4.6979 × 10410^{4}

46979 in other forms

FormValue
In wordsforty-six thousand nine hundred and seventy-nine
Binary (base 2)1011011110000011
Octal (base 8)133603
Hexadecimal (base 16)B783
Base 32101102222
As time46979 seconds = 13 h 2 min 59 s

Is 46979 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.
7No (remainder 2)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 3)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 9)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 46979 a prime number?

No. 46979 = 109 × 431, so it is divisible by 109.

What are the factors of 46979?

1, 109, 431, 46979.

What is 46979 in binary?

1011011110000011 (hexadecimal B783, octal 133603).

What is the square root of 46979?

About 216.7464.

Is 46979 divisible by 3?

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

What is special about the number 46979?

46979 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 109 × 431, the product of two primes.

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