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The number 46729

46729 is a composite number with 4 divisors. Its prime factorisation is 83 × 563. Divisors (4): 1, 83, 563, 46729.

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How to work it out

  1. 1

    What is special about 46729: a semiprime: 83 × 563, the product of two primes.

  2. 2

    46729 is composite. Its prime factorisation is

    46729=83×56346729 = 83 \times 563
  3. 3

    The divisors add up to 47376; without 46729 itself that is 647, so 46729 is deficient (647 is less than 46729). Euler's totient φ(46729) = 46084 numbers up to 46729 share no factor with it.

  4. 4

    The digits of 46729 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 220 steps to reach 1.

LaTeX source of the formulas on this page
\[ 46729 = 83 \times 563 \]

46729 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors47376
Euler totient φ(n)46084
Square2183599441
Cube102037418278489
Square root216.168915
Digit sum / digital root28 / 1
Collatz steps to 1220
Scientific notation4.6729 × 10410^{4}

46729 in other forms

FormValue
In wordsforty-six thousand seven hundred and twenty-nine
Binary (base 2)1011011010001001
Octal (base 8)133211
Hexadecimal (base 16)B689
Base 32101002201
As time46729 seconds = 12 h 58 min 49 s

Is 46729 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 1)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.
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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 46729 a prime number?

No. 46729 = 83 × 563, so it is divisible by 83.

What are the factors of 46729?

1, 83, 563, 46729.

What is 46729 in binary?

1011011010001001 (hexadecimal B689, octal 133211).

What is the square root of 46729?

About 216.1689.

Is 46729 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 46729?

46729 is a semiprime: 83 × 563, the product of two primes.

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