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The number 1441

1441 is a palindrome: it reads 1441 backwards too. Its prime factorisation is 11 × 131. Divisors (4): 1, 11, 131, 1441.

Number

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How to work it out

  1. 1

    What is special about 1441: a palindrome: it reads 1441 backwards too; a semiprime: 11 × 131, the product of two primes.

  2. 2

    1441 is composite. Its prime factorisation is

    1441=11×1311441 = 11 \times 131
  3. 3

    The divisors add up to 1584; without 1441 itself that is 143, so 1441 is deficient (143 is less than 1441). Euler's totient φ(1441) = 1300 numbers up to 1441 share no factor with it.

  4. 4

    The digits of 1441 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 140 steps to reach 1.

LaTeX source of the formulas on this page
\[ 1441 = 11 \times 131 \]

1441 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors1584
Euler totient φ(n)1300
Square2076481
Cube2992209121
Square root37.960506
Digit sum / digital root10 / 1
Collatz steps to 1140
Scientific notation1.441 × 10310^{3}

1441 in other forms

FormValue
In wordsone thousand four hundred and forty-one
Roman numeralsMCDXLI
Binary (base 2)10110100001
Octal (base 8)2641
Hexadecimal (base 16)5A1
Base 31222101
As time1441 seconds = 24 min 1 s

Is 1441 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 1)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 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 1)A number is divisible by 10 if the last digit is 0.
11Yes (1441 ÷ 11 = 131)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 1441 a prime number?

No. 1441 = 11 × 131, so it is divisible by 11.

What are the factors of 1441?

1, 11, 131, 1441.

What is 1441 in binary?

10110100001 (hexadecimal 5A1, octal 2641).

What is the square root of 1441?

About 37.9605.

What is 1441 in Roman numerals?

MCDXLI.

Is 1441 divisible by 3?

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

What is special about the number 1441?

1441 is a palindrome: it reads 1441 backwards too; a semiprime: 11 × 131, the product of two primes.

All about 1441

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    1441: is it prime? Factors, square root, binary, Roman numeral | WordGPT