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The number 20413

20413 is a composite number with 4 divisors. Its prime factorisation is 137 × 149. Divisors (4): 1, 137, 149, 20413.

Number

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How to work it out

  1. 1

    What is special about 20413: a semiprime: 137 × 149, the product of two primes.

  2. 2

    20413 is composite. Its prime factorisation is

    20413=137×14920413 = 137 \times 149
  3. 3

    The divisors add up to 20700; without 20413 itself that is 287, so 20413 is deficient (287 is less than 20413). Euler's totient φ(20413) = 20128 numbers up to 20413 share no factor with it.

  4. 4

    The digits of 20413 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.

LaTeX source of the formulas on this page
\[ 20413 = 137 \times 149 \]

20413 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors20700
Euler totient φ(n)20128
Square416690569
Cube8505904584997
Square root142.874070
Digit sum / digital root10 / 1
Collatz steps to 187
Scientific notation2.0413 × 10410^{4}

20413 in other forms

FormValue
In wordstwenty thousand four hundred and thirteen
Binary (base 2)100111110111101
Octal (base 8)47675
Hexadecimal (base 16)4FBD
Base 31001000001
As time20413 seconds = 5 h 40 min 13 s

Is 20413 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 3)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 1)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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 20413 a prime number?

No. 20413 = 137 × 149, so it is divisible by 137.

What are the factors of 20413?

1, 137, 149, 20413.

What is 20413 in binary?

100111110111101 (hexadecimal 4FBD, octal 47675).

What is the square root of 20413?

About 142.8741.

Is 20413 divisible by 3?

No. Its digits add up to 10, which is not a multiple of 3.

What is special about the number 20413?

20413 is a semiprime: 137 × 149, the product of two primes.

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