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The number 1807

1807 is a composite number with 4 divisors. Its prime factorisation is 13 × 139. Divisors (4): 1, 13, 139, 1807.

Number

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How to work it out

  1. 1

    What is special about 1807: a semiprime: 13 × 139, the product of two primes.

  2. 2

    1807 is composite. Its prime factorisation is

    1807=13×1391807 = 13 \times 139
  3. 3

    The divisors add up to 1960; without 1807 itself that is 153, so 1807 is deficient (153 is less than 1807). Euler's totient φ(1807) = 1656 numbers up to 1807 share no factor with it.

  4. 4

    The digits of 1807 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.

LaTeX source of the formulas on this page
\[ 1807 = 13 \times 139 \]

1807 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors1960
Euler totient φ(n)1656
Square3265249
Cube5900304943
Square root42.508823
Digit sum / digital root16 / 7
Collatz steps to 1117
Scientific notation1.807 × 10310^{3}

1807 in other forms

FormValue
In wordsone thousand eight hundred and seven
Roman numeralsMDCCCVII
Binary (base 2)11100001111
Octal (base 8)3417
Hexadecimal (base 16)70F
Base 32110221
As time1807 seconds = 30 min 7 s

Is 1807 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.
5No (remainder 2)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 1)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 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)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 1807 a prime number?

No. 1807 = 13 × 139, so it is divisible by 13.

What are the factors of 1807?

1, 13, 139, 1807.

What is 1807 in binary?

11100001111 (hexadecimal 70F, octal 3417).

What is the square root of 1807?

About 42.5088.

What is 1807 in Roman numerals?

MDCCCVII.

Is 1807 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 1807?

1807 is a semiprime: 13 × 139, the product of two primes.

All about 1807

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    1807: is it prime? Factors, square root, binary, Roman numeral | WordGPT