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The number 49913

49913 is a composite number with 8 divisors. Its prime factorisation is 19 × 37 × 71. Divisors (8): 1, 19, 37, 71, 703, 1349, 2627, 49913.

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How to work it out

  1. 1

    What is special about 49913: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    49913 is composite. Its prime factorisation is

    49913=19×37×7149913 = 19 \times 37 \times 71
  3. 3

    The divisors add up to 54720; without 49913 itself that is 4807, so 49913 is deficient (4807 is less than 49913). Euler's totient φ(49913) = 45360 numbers up to 49913 share no factor with it.

  4. 4

    The digits of 49913 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49913 = 19 \times 37 \times 71 \]

49913 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors54720
Euler totient φ(n)45360
Square2491307569
Cube124348634691497
Square root223.412175
Digit sum / digital root26 / 8
Collatz steps to 152
Scientific notation4.9913 × 10410^{4}

49913 in other forms

FormValue
In wordsforty-nine thousand nine hundred and thirteen
Binary (base 2)1100001011111001
Octal (base 8)141371
Hexadecimal (base 16)C2F9
Base 32112110122
As time49913 seconds = 13 h 51 min 53 s

Is 49913 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 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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 8)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 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49913 a prime number?

No. 49913 = 19 × 37 × 71, so it is divisible by 19.

What are the factors of 49913?

1, 19, 37, 71, 703, 1349, 2627, 49913.

What is 49913 in binary?

1100001011111001 (hexadecimal C2F9, octal 141371).

What is the square root of 49913?

About 223.4122.

Is 49913 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 49913?

49913 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    49913: is it prime? Factors, square root, binary, Roman numeral | WordGPT