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The number 24979

24979 is a twin prime (24977 and 24979 are both prime) and the 2761st prime number. Its only divisors are 1 and 24979.

Number

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How to work it out

  1. 1

    What is special about 24979: a twin prime (24977 and 24979 are both prime); the 2761st prime number.

  2. 2

    24979 is prime, so its only factors are 1 and 24979. It is the 2761st prime; the next prime is 24989 and the one before is 24977.

  3. 3

    The divisors add up to 24980; without 24979 itself that is 1, so 24979 is deficient (1 is less than 24979). Euler's totient φ(24979) = 24978 numbers up to 24979 share no factor with it.

  4. 4

    The digits of 24979 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.

24979 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors24980
Euler totient φ(n)24978
Square623950441
Cube15585658065739
Square root158.047461
Digit sum / digital root31 / 4
Collatz steps to 164
Scientific notation2.4979 × 10410^{4}

24979 in other forms

FormValue
In wordstwenty-four thousand nine hundred and seventy-nine
Binary (base 2)110000110010011
Octal (base 8)60623
Hexadecimal (base 16)6193
Base 31021021011
As time24979 seconds = 6 h 56 min 19 s

Is 24979 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 3)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 9)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 24979 a prime number?

Yes. 24979 is divisible only by 1 and itself.

What are the factors of 24979?

1, 24979.

What is 24979 in binary?

110000110010011 (hexadecimal 6193, octal 60623).

What is the square root of 24979?

About 158.0475.

Is 24979 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 24979?

24979 is a twin prime (24977 and 24979 are both prime); the 2761st prime number.

All about 24979

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    24979: is it prime? Factors, square root, binary, Roman numeral | WordGPT