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The number 355

355 is a composite number with 4 divisors. Its prime factorisation is 5 × 71. Divisors (4): 1, 5, 71, 355.

Number

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How to work it out

  1. 1

    What is special about 355: a semiprime: 5 × 71, the product of two primes.

  2. 2

    355 is composite. Its prime factorisation is

    355=5×71355 = 5 \times 71
  3. 3

    The divisors add up to 432; without 355 itself that is 77, so 355 is deficient (77 is less than 355). Euler's totient φ(355) = 280 numbers up to 355 share no factor with it.

  4. 4

    The digits of 355 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.

LaTeX source of the formulas on this page
\[ 355 = 5 \times 71 \]

355 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors432
Euler totient φ(n)280
Square126025
Cube44738875
Square root18.841444
Digit sum / digital root13 / 4
Collatz steps to 132
Scientific notation3.55 × 10210^{2}

355 in other forms

FormValue
In wordsthree hundred and fifty-five
Roman numeralsCCCLV
Binary (base 2)101100011
Octal (base 8)543
Hexadecimal (base 16)163
Base 3111011
As time355 seconds = 5 min 55 s

Is 355 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 (355 ÷ 5 = 71)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 3)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 3)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 355 a prime number?

No. 355 = 5 × 71, so it is divisible by 5.

What are the factors of 355?

1, 5, 71, 355.

What is 355 in binary?

101100011 (hexadecimal 163, octal 543).

What is the square root of 355?

About 18.8414.

What is 355 in Roman numerals?

CCCLV.

Is 355 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 355?

355 is a semiprime: 5 × 71, the product of two primes.

All about 355

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