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The number 24061

24061 is the 2676th prime number. Its only divisors are 1 and 24061.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 24061: the 2676th prime number.

  2. 2

    24061 is prime, so its only factors are 1 and 24061. It is the 2676th prime; the next prime is 24071 and the one before is 24049.

  3. 3

    The divisors add up to 24062; without 24061 itself that is 1, so 24061 is deficient (1 is less than 24061). Euler's totient φ(24061) = 24060 numbers up to 24061 share no factor with it.

  4. 4

    The digits of 24061 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.

24061 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors24062
Euler totient φ(n)24060
Square578931721
Cube13929676138981
Square root155.116086
Digit sum / digital root13 / 4
Collatz steps to 1157
Scientific notation2.4061 × 10410^{4}

24061 in other forms

FormValue
In wordstwenty-four thousand and sixty-one
Binary (base 2)101110111111101
Octal (base 8)56775
Hexadecimal (base 16)5DFD
Base 31020000011
As time24061 seconds = 6 h 41 min 1 s

Is 24061 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 1)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 2)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 5)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)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 24061 a prime number?

Yes. 24061 is divisible only by 1 and itself.

What are the factors of 24061?

1, 24061.

What is 24061 in binary?

101110111111101 (hexadecimal 5DFD, octal 56775).

What is the square root of 24061?

About 155.1161.

Is 24061 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 24061?

24061 is the 2676th prime number.

All about 24061

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    24061: is it prime? Factors, square root, binary, Roman numeral | WordGPT