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The number 20629

20629 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 421. Divisors (6): 1, 7, 49, 421, 2947, 20629.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    20629 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    20629 is composite. Its prime factorisation is

    20629=72Ɨ42120629 = 7^{2} \times 421
  3. 3

    The divisors add up to 24054; without 20629 itself that is 3425, so 20629 is deficient (3425 is less than 20629). Euler's totient φ(20629) = 17640 numbers up to 20629 share no factor with it.

  4. 4

    The digits of 20629 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 149 steps to reach 1.

LaTeX source of the formulas on this page
\[ 20629 = 7^{2} \times 421 \]

20629 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors24054
Euler totient φ(n)17640
Square425555641
Cube8778787318189
Square root143.627992 (= 7√421)
Digit sum / digital root19 / 1
Collatz steps to 1149
Scientific notation2.0629 Ɨ 10410^{4}

20629 in other forms

FormValue
In wordstwenty thousand six hundred and twenty-nine
Binary (base 2)101000010010101
Octal (base 8)50225
Hexadecimal (base 16)5095
Base 31001022001
As time20629 seconds = 5 h 43 min 49 s

Is 20629 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.
7Yes (20629 Ć· 7 = 2947)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 5)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 4)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 20629 a prime number?

No. 20629 = 727^{2} Ɨ 421, so it is divisible by 7.

What are the factors of 20629?

1, 7, 49, 421, 2947, 20629.

What is 20629 in binary?

101000010010101 (hexadecimal 5095, octal 50225).

What is the square root of 20629?

About 143.6280, exactly 7√421.

Is 20629 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 20629?

It is a composite number with 6 divisors.

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