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The number 1445

1445 is a composite number with 6 divisors. Its prime factorisation is 5 Ɨ 17217^{2}. Divisors (6): 1, 5, 17, 85, 289, 1445.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    1445 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    1445 is composite. Its prime factorisation is

    1445=5Ɨ1721445 = 5 \times 17^{2}
  3. 3

    The divisors add up to 1842; without 1445 itself that is 397, so 1445 is deficient (397 is less than 1445). Euler's totient φ(1445) = 1088 numbers up to 1445 share no factor with it.

  4. 4

    The digits of 1445 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.

LaTeX source of the formulas on this page
\[ 1445 = 5 \times 17^{2} \]

1445 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors1842
Euler totient φ(n)1088
Square2088025
Cube3017196125
Square root38.013156 (= 17√5)
Digit sum / digital root14 / 5
Collatz steps to 147
Scientific notation1.445 Ɨ 10310^{3}

1445 in other forms

FormValue
In wordsone thousand four hundred and forty-five
Roman numeralsMCDXLV
Binary (base 2)10110100101
Octal (base 8)2645
Hexadecimal (base 16)5A5
Base 31222112
As time1445 seconds = 24 min 5 s

Is 1445 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.
5Yes (1445 Ć· 5 = 289)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)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 1445 a prime number?

No. 1445 = 5 Ɨ 17217^{2}, so it is divisible by 5.

What are the factors of 1445?

1, 5, 17, 85, 289, 1445.

What is 1445 in binary?

10110100101 (hexadecimal 5A5, octal 2645).

What is the square root of 1445?

About 38.0132, exactly 17√5.

What is 1445 in Roman numerals?

MCDXLV.

Is 1445 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 1445?

It is a composite number with 6 divisors.

All about 1445

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    1445: is it prime? Factors, square root, binary, Roman numeral | WordGPT