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The number 3775

3775 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 151. Divisors (6): 1, 5, 25, 151, 755, 3775.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    3775 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

    3775 is composite. Its prime factorisation is

    3775=52Ɨ1513775 = 5^{2} \times 151
  3. 3

    The divisors add up to 4712; without 3775 itself that is 937, so 3775 is deficient (937 is less than 3775). Euler's totient φ(3775) = 3000 numbers up to 3775 share no factor with it.

  4. 4

    The digits of 3775 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 87 steps to reach 1.

LaTeX source of the formulas on this page
\[ 3775 = 5^{2} \times 151 \]

3775 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors4712
Euler totient φ(n)3000
Square14250625
Cube53796109375
Square root61.441029 (= 5√151)
Digit sum / digital root22 / 4
Collatz steps to 187
Scientific notation3.775 Ɨ 10310^{3}

3775 in other forms

FormValue
In wordsthree thousand seven hundred and seventy-five
Roman numeralsMMMDCCLXXV
Binary (base 2)111010111111
Octal (base 8)7277
Hexadecimal (base 16)EBF
Base 312011211
As time3775 seconds = 1 h 2 min 55 s

Is 3775 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.
5Yes (3775 Ć· 5 = 755)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 7)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 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)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 3775 a prime number?

No. 3775 = 525^{2} Ɨ 151, so it is divisible by 5.

What are the factors of 3775?

1, 5, 25, 151, 755, 3775.

What is 3775 in binary?

111010111111 (hexadecimal EBF, octal 7277).

What is the square root of 3775?

About 61.4410, exactly 5√151.

What is 3775 in Roman numerals?

MMMDCCLXXV.

Is 3775 divisible by 3?

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

What is special about the number 3775?

It is a composite number with 6 divisors.

All about 3775

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    3775: is it prime? Factors, square root, binary, Roman numeral | WordGPT