WordGPT

The number 13489

13489 is a composite number with 8 divisors. Its prime factorisation is 7 × 41 × 47. Divisors (8): 1, 7, 41, 47, 287, 329, 1927, 13489.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    13489 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    13489 is composite. Its prime factorisation is

    13489=7×41×4713489 = 7 \times 41 \times 47
  3. 3

    The divisors add up to 16128; without 13489 itself that is 2639, so 13489 is deficient (2639 is less than 13489). Euler's totient φ(13489) = 11040 numbers up to 13489 share no factor with it.

  4. 4

    The digits of 13489 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13489 = 7 \times 41 \times 47 \]

13489 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors16128
Euler totient φ(n)11040
Square181953121
Cube2454365649169
Square root116.142154
Digit sum / digital root25 / 7
Collatz steps to 176
Scientific notation1.3489 × 10410^{4}

13489 in other forms

FormValue
In wordsthirteen thousand four hundred and eighty-nine
Binary (base 2)11010010110001
Octal (base 8)32261
Hexadecimal (base 16)34B1
Base 3200111121
As time13489 seconds = 3 h 44 min 49 s

Is 13489 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 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.
7Yes (13489 ÷ 7 = 1927)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 7)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 3)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 13489 a prime number?

No. 13489 = 7 × 41 × 47, so it is divisible by 7.

What are the factors of 13489?

1, 7, 41, 47, 287, 329, 1927, 13489.

What is 13489 in binary?

11010010110001 (hexadecimal 34B1, octal 32261).

What is the square root of 13489?

About 116.1422.

Is 13489 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 13489?

It is a composite number with 8 divisors.

Find the next one

Nearby numbers

    13489: is it prime? Factors, square root, binary, Roman numeral | WordGPT