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The number 24940

24940 is a composite number with 24 divisors. Its prime factorisation is 222^{2} × 5 × 29 × 43. Divisors (24): 1, 2, 4, 5, 10, 20, 29, 43, 58, 86, 116, 145, 172, 215, 290, 430 … 24940.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    24940 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

    24940 is composite. Its prime factorisation is

    24940=22×5×29×4324940 = 2^{2} \times 5 \times 29 \times 43
  3. 3

    The divisors add up to 55440; without 24940 itself that is 30500, so 24940 is abundant (30500 is more than 24940). Euler's totient φ(24940) = 9408 numbers up to 24940 share no factor with it.

  4. 4

    The digits of 24940 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 188 steps to reach 1.

LaTeX source of the formulas on this page
\[ 24940 = 2^{2} \times 5 \times 29 \times 43 \]

24940 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors55440
Euler totient φ(n)9408
Square622003600
Cube15512769784000
Square root157.924032 (= 2√6235)
Digit sum / digital root19 / 1
Collatz steps to 1188
Scientific notation2.494 × 10410^{4}

24940 in other forms

FormValue
In wordstwenty-four thousand nine hundred and forty
Binary (base 2)110000101101100
Octal (base 8)60554
Hexadecimal (base 16)616C
Base 31021012201
As time24940 seconds = 6 h 55 min 40 s

Is 24940 divisible by 2 to 12?

DivisorAnswerRule
2Yes (24940 ÷ 2 = 12470)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.
4Yes (24940 ÷ 4 = 6235)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (24940 ÷ 5 = 4988)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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.
8No (remainder 4)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.
10Yes (24940 ÷ 10 = 2494)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 24940 a prime number?

No. 24940 = 222^{2} × 5 × 29 × 43, so it is divisible by 2.

What are the factors of 24940?

1, 2, 4, 5, 10, 20, 29, 43, 58, 86, 116, 145, 172, 215, 290, 430, 580, 860, 1247, 2494, 4988, 6235, 12470, 24940.

What is 24940 in binary?

110000101101100 (hexadecimal 616C, octal 60554).

What is the square root of 24940?

About 157.9240, exactly 2√6235.

Is 24940 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 24940?

It is a composite number with 24 divisors.

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