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The number 44077

44077 is a composite number with 4 divisors. Its prime factorisation is 11 × 4007. Divisors (4): 1, 11, 4007, 44077.

Number

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How to work it out

  1. 1

    What is special about 44077: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 4007, the product of two primes.

  2. 2

    44077 is composite. Its prime factorisation is

    44077=11×400744077 = 11 \times 4007
  3. 3

    The divisors add up to 48096; without 44077 itself that is 4019, so 44077 is deficient (4019 is less than 44077). Euler's totient φ(44077) = 40060 numbers up to 44077 share no factor with it.

  4. 4

    The digits of 44077 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.

LaTeX source of the formulas on this page
\[ 44077 = 11 \times 4007 \]

44077 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors48096
Euler totient φ(n)40060
Square1942781929
Cube85631999084533
Square root209.945231
Digit sum / digital root22 / 4
Collatz steps to 1145
Scientific notation4.4077 × 10410^{4}

44077 in other forms

FormValue
In wordsforty-four thousand and seventy-seven
Binary (base 2)1010110000101101
Octal (base 8)126055
Hexadecimal (base 16)AC2D
Base 32020110111
As time44077 seconds = 12 h 14 min 37 s

Is 44077 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 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 5)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 4)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 (44077 ÷ 11 = 4007)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 44077 a prime number?

No. 44077 = 11 × 4007, so it is divisible by 11.

What are the factors of 44077?

1, 11, 4007, 44077.

What is 44077 in binary?

1010110000101101 (hexadecimal AC2D, octal 126055).

What is the square root of 44077?

About 209.9452.

Is 44077 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 44077?

44077 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 4007, the product of two primes.

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