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The number 44137

44137 is a composite number with 8 divisors. Its prime factorisation is 19 × 23 × 101. Divisors (8): 1, 19, 23, 101, 437, 1919, 2323, 44137.

Number

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How to work it out

  1. 1

    What is special about 44137: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.

  2. 2

    44137 is composite. Its prime factorisation is

    44137=19×23×10144137 = 19 \times 23 \times 101
  3. 3

    The divisors add up to 48960; without 44137 itself that is 4823, so 44137 is deficient (4823 is less than 44137). Euler's totient φ(44137) = 39600 numbers up to 44137 share no factor with it.

  4. 4

    The digits of 44137 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 124 steps to reach 1.

LaTeX source of the formulas on this page
\[ 44137 = 19 \times 23 \times 101 \]

44137 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors48960
Euler totient φ(n)39600
Square1948074769
Cube85982176079353
Square root210.088077
Digit sum / digital root19 / 1
Collatz steps to 1124
Scientific notation4.4137 × 10410^{4}

44137 in other forms

FormValue
In wordsforty-four thousand one hundred and thirty-seven
Binary (base 2)1010110001101001
Octal (base 8)126151
Hexadecimal (base 16)AC69
Base 32020112201
As time44137 seconds = 12 h 15 min 37 s

Is 44137 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 2)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 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.
11No (remainder 5)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 44137 a prime number?

No. 44137 = 19 × 23 × 101, so it is divisible by 19.

What are the factors of 44137?

1, 19, 23, 101, 437, 1919, 2323, 44137.

What is 44137 in binary?

1010110001101001 (hexadecimal AC69, octal 126151).

What is the square root of 44137?

About 210.0881.

Is 44137 divisible by 3?

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

What is special about the number 44137?

44137 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.

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    44137: is it prime? Factors, square root, binary, Roman numeral | WordGPT