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The number 3649

3649 is a composite number with 4 divisors. Its prime factorisation is 41 × 89. Divisors (4): 1, 41, 89, 3649.

Number

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How to work it out

  1. 1

    What is special about 3649: a semiprime: 41 × 89, the product of two primes.

  2. 2

    3649 is composite. Its prime factorisation is

    3649=41×893649 = 41 \times 89
  3. 3

    The divisors add up to 3780; without 3649 itself that is 131, so 3649 is deficient (131 is less than 3649). Euler's totient φ(3649) = 3520 numbers up to 3649 share no factor with it.

  4. 4

    The digits of 3649 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 43 steps to reach 1.

LaTeX source of the formulas on this page
\[ 3649 = 41 \times 89 \]

3649 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors3780
Euler totient φ(n)3520
Square13315201
Cube48587168449
Square root60.406953
Digit sum / digital root22 / 4
Collatz steps to 143
Scientific notation3.649 × 10310^{3}

3649 in other forms

FormValue
In wordsthree thousand six hundred and forty-nine
Roman numeralsMMMDCXLIX
Binary (base 2)111001000001
Octal (base 8)7101
Hexadecimal (base 16)E41
Base 312000011
As time3649 seconds = 1 h 0 min 49 s

Is 3649 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 4)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 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 3649 a prime number?

No. 3649 = 41 × 89, so it is divisible by 41.

What are the factors of 3649?

1, 41, 89, 3649.

What is 3649 in binary?

111001000001 (hexadecimal E41, octal 7101).

What is the square root of 3649?

About 60.4070.

What is 3649 in Roman numerals?

MMMDCXLIX.

Is 3649 divisible by 3?

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

What is special about the number 3649?

3649 is a semiprime: 41 × 89, the product of two primes.

All about 3649

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    3649: is it prime? Factors, square root, binary, Roman numeral | WordGPT