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The number 24968

24968 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 3121. Divisors (8): 1, 2, 4, 8, 3121, 6242, 12484, 24968.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    24968 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

    24968 is composite. Its prime factorisation is

    24968=23×312124968 = 2^{3} \times 3121
  3. 3

    The divisors add up to 46830; without 24968 itself that is 21862, so 24968 is deficient (21862 is less than 24968). Euler's totient φ(24968) = 12480 numbers up to 24968 share no factor with it.

  4. 4

    The digits of 24968 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.

LaTeX source of the formulas on this page
\[ 24968 = 2^{3} \times 3121 \]

24968 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors46830
Euler totient φ(n)12480
Square623401024
Cube15565076767232
Square root158.012658 (= 2√6242)
Digit sum / digital root29 / 2
Collatz steps to 164
Scientific notation2.4968 × 10410^{4}

24968 in other forms

FormValue
In wordstwenty-four thousand nine hundred and sixty-eight
Binary (base 2)110000110001000
Octal (base 8)60610
Hexadecimal (base 16)6188
Base 31021020202
As time24968 seconds = 6 h 56 min 8 s

Is 24968 divisible by 2 to 12?

DivisorAnswerRule
2Yes (24968 ÷ 2 = 12484)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (24968 ÷ 4 = 6242)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (24968 ÷ 8 = 3121)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 24968 a prime number?

No. 24968 = 232^{3} × 3121, so it is divisible by 2.

What are the factors of 24968?

1, 2, 4, 8, 3121, 6242, 12484, 24968.

What is 24968 in binary?

110000110001000 (hexadecimal 6188, octal 60610).

What is the square root of 24968?

About 158.0127, exactly 2√6242.

Is 24968 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 24968?

It is a composite number with 8 divisors.

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    24968: is it prime? Factors, square root, binary, Roman numeral | WordGPT