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The number 3698

3698 is a composite number with 6 divisors. Its prime factorisation is 2 Ɨ 43243^{2}. Divisors (6): 1, 2, 43, 86, 1849, 3698.

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How to work it out

  1. 1

    What is special about 3698: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    3698 is composite. Its prime factorisation is

    3698=2Ɨ4323698 = 2 \times 43^{2}
  3. 3

    The divisors add up to 5679; without 3698 itself that is 1981, so 3698 is deficient (1981 is less than 3698). Euler's totient φ(3698) = 1806 numbers up to 3698 share no factor with it.

  4. 4

    The digits of 3698 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.

LaTeX source of the formulas on this page
\[ 3698 = 2 \times 43^{2} \]

3698 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors5679
Euler totient φ(n)1806
Square13675204
Cube50570904392
Square root60.811183 (= 43√2)
Digit sum / digital root26 / 8
Collatz steps to 169
Scientific notation3.698 Ɨ 10310^{3}

3698 in other forms

FormValue
In wordsthree thousand six hundred and ninety-eight
Roman numeralsMMMDCXCVIII
Binary (base 2)111001110010
Octal (base 8)7162
Hexadecimal (base 16)E72
Base 312001222
As time3698 seconds = 1 h 1 min 38 s

Is 3698 divisible by 2 to 12?

DivisorAnswerRule
2Yes (3698 Ć· 2 = 1849)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)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 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 3698 a prime number?

No. 3698 = 2 Ɨ 43243^{2}, so it is divisible by 2.

What are the factors of 3698?

1, 2, 43, 86, 1849, 3698.

What is 3698 in binary?

111001110010 (hexadecimal E72, octal 7162).

What is the square root of 3698?

About 60.8112, exactly 43√2.

What is 3698 in Roman numerals?

MMMDCXCVIII.

Is 3698 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 3698?

3698 is a happy number: repeatedly adding the squares of its digits reaches 1.

All about 3698

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    3698: is it prime? Factors, square root, binary, Roman numeral | WordGPT