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The number 3601

3601 is a composite number with 4 divisors. Its prime factorisation is 13 × 277. Divisors (4): 1, 13, 277, 3601.

Number

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How to work it out

  1. 1

    What is special about 3601: a semiprime: 13 × 277, the product of two primes.

  2. 2

    3601 is composite. Its prime factorisation is

    3601=13×2773601 = 13 \times 277
  3. 3

    The divisors add up to 3892; without 3601 itself that is 291, so 3601 is deficient (291 is less than 3601). Euler's totient φ(3601) = 3312 numbers up to 3601 share no factor with it.

  4. 4

    The digits of 3601 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.

LaTeX source of the formulas on this page
\[ 3601 = 13 \times 277 \]

3601 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors3892
Euler totient φ(n)3312
Square12967201
Cube46694890801
Square root60.008333
Digit sum / digital root10 / 1
Collatz steps to 1118
Scientific notation3.601 × 10310^{3}

3601 in other forms

FormValue
In wordsthree thousand six hundred and one
Roman numeralsMMMDCI
Binary (base 2)111000010001
Octal (base 8)7021
Hexadecimal (base 16)E11
Base 311221101
As time3601 seconds = 1 h 0 min 1 s

Is 3601 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 1)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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 3601 a prime number?

No. 3601 = 13 × 277, so it is divisible by 13.

What are the factors of 3601?

1, 13, 277, 3601.

What is 3601 in binary?

111000010001 (hexadecimal E11, octal 7021).

What is the square root of 3601?

About 60.0083.

What is 3601 in Roman numerals?

MMMDCI.

Is 3601 divisible by 3?

No. Its digits add up to 10, which is not a multiple of 3.

What is special about the number 3601?

3601 is a semiprime: 13 × 277, the product of two primes.

All about 3601

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    3601: is it prime? Factors, square root, binary, Roman numeral | WordGPT