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The number 44407

44407 is a composite number with 6 divisors. Its prime factorisation is 11211^{2} Ɨ 367. Divisors (6): 1, 11, 121, 367, 4037, 44407.

Number

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How to work it out

  1. 1

    What is special about 44407: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    44407 is composite. Its prime factorisation is

    44407=112Ɨ36744407 = 11^{2} \times 367
  3. 3

    The divisors add up to 48944; without 44407 itself that is 4537, so 44407 is deficient (4537 is less than 44407). Euler's totient φ(44407) = 40260 numbers up to 44407 share no factor with it.

  4. 4

    The digits of 44407 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 70 steps to reach 1.

LaTeX source of the formulas on this page
\[ 44407 = 11^{2} \times 367 \]

44407 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors48944
Euler totient φ(n)40260
Square1971981649
Cube87569789087143
Square root210.729685 (= 11√367)
Digit sum / digital root19 / 1
Collatz steps to 170
Scientific notation4.4407 Ɨ 10410^{4}

44407 in other forms

FormValue
In wordsforty-four thousand four hundred and seven
Binary (base 2)1010110101110111
Octal (base 8)126567
Hexadecimal (base 16)AD77
Base 32020220201
As time44407 seconds = 12 h 20 min 7 s

Is 44407 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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 6)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 7)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 7)A number is divisible by 10 if the last digit is 0.
11Yes (44407 Ć· 11 = 4037)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 44407 a prime number?

No. 44407 = 11211^{2} Ɨ 367, so it is divisible by 11.

What are the factors of 44407?

1, 11, 121, 367, 4037, 44407.

What is 44407 in binary?

1010110101110111 (hexadecimal AD77, octal 126567).

What is the square root of 44407?

About 210.7297, exactly 11√367.

Is 44407 divisible by 3?

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

What is special about the number 44407?

44407 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    44407: is it prime? Factors, square root, binary, Roman numeral | WordGPT