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The number 1513

1513 is a composite number with 4 divisors. Its prime factorisation is 17 × 89. Divisors (4): 1, 17, 89, 1513.

Number

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How to work it out

  1. 1

    What is special about 1513: a semiprime: 17 × 89, the product of two primes.

  2. 2

    1513 is composite. Its prime factorisation is

    1513=17×891513 = 17 \times 89
  3. 3

    The divisors add up to 1620; without 1513 itself that is 107, so 1513 is deficient (107 is less than 1513). Euler's totient φ(1513) = 1408 numbers up to 1513 share no factor with it.

  4. 4

    The digits of 1513 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 65 steps to reach 1.

LaTeX source of the formulas on this page
\[ 1513 = 17 \times 89 \]

1513 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors1620
Euler totient φ(n)1408
Square2289169
Cube3463512697
Square root38.897301
Digit sum / digital root10 / 1
Collatz steps to 165
Scientific notation1.513 × 10310^{3}

1513 in other forms

FormValue
In wordsone thousand five hundred and thirteen
Roman numeralsMDXIII
Binary (base 2)10111101001
Octal (base 8)2751
Hexadecimal (base 16)5E9
Base 32002001
As time1513 seconds = 25 min 13 s

Is 1513 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 3)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 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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)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 1513 a prime number?

No. 1513 = 17 × 89, so it is divisible by 17.

What are the factors of 1513?

1, 17, 89, 1513.

What is 1513 in binary?

10111101001 (hexadecimal 5E9, octal 2751).

What is the square root of 1513?

About 38.8973.

What is 1513 in Roman numerals?

MDXIII.

Is 1513 divisible by 3?

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

What is special about the number 1513?

1513 is a semiprime: 17 × 89, the product of two primes.

All about 1513

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    1513: is it prime? Factors, square root, binary, Roman numeral | WordGPT