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The number 13459

13459 is a composite number with 4 divisors. Its prime factorisation is 43 × 313. Divisors (4): 1, 43, 313, 13459.

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How to work it out

  1. 1

    What is special about 13459: a semiprime: 43 × 313, the product of two primes.

  2. 2

    13459 is composite. Its prime factorisation is

    13459=43×31313459 = 43 \times 313
  3. 3

    The divisors add up to 13816; without 13459 itself that is 357, so 13459 is deficient (357 is less than 13459). Euler's totient φ(13459) = 13104 numbers up to 13459 share no factor with it.

  4. 4

    The digits of 13459 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 138 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13459 = 43 \times 313 \]

13459 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors13816
Euler totient φ(n)13104
Square181144681
Cube2438026261579
Square root116.012930
Digit sum / digital root22 / 4
Collatz steps to 1138
Scientific notation1.3459 × 10410^{4}

13459 in other forms

FormValue
In wordsthirteen thousand four hundred and fifty-nine
Binary (base 2)11010010010011
Octal (base 8)32223
Hexadecimal (base 16)3493
Base 3200110111
As time13459 seconds = 3 h 44 min 19 s

Is 13459 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 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 5)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 3)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 6)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 13459 a prime number?

No. 13459 = 43 × 313, so it is divisible by 43.

What are the factors of 13459?

1, 43, 313, 13459.

What is 13459 in binary?

11010010010011 (hexadecimal 3493, octal 32223).

What is the square root of 13459?

About 116.0129.

Is 13459 divisible by 3?

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

What is special about the number 13459?

13459 is a semiprime: 43 × 313, the product of two primes.

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