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The number 54497

54497 is a twin prime (54497 and 54499 are both prime) and the 5544th prime number. Its only divisors are 1 and 54497.

Number

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How to work it out

  1. 1

    What is special about 54497: a twin prime (54497 and 54499 are both prime); the 5544th prime number.

  2. 2

    54497 is prime, so its only factors are 1 and 54497. It is the 5544th prime; the next prime is 54499 and the one before is 54493.

  3. 3

    The divisors add up to 54498; without 54497 itself that is 1, so 54497 is deficient (1 is less than 54497). Euler's totient φ(54497) = 54496 numbers up to 54497 share no factor with it.

  4. 4

    The digits of 54497 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 153 steps to reach 1.

54497 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors54498
Euler totient φ(n)54496
Square2969923009
Cube161851894221473
Square root233.445925
Digit sum / digital root29 / 2
Collatz steps to 1153
Scientific notation5.4497 × 10410^{4}

54497 in other forms

FormValue
In wordsfifty-four thousand four hundred and ninety-seven
Binary (base 2)1101010011100001
Octal (base 8)152341
Hexadecimal (base 16)D4E1
Base 32202202102
As time54497 seconds = 15 h 8 min 17 s

Is 54497 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 2)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)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 1)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 7)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 54497 a prime number?

Yes. 54497 is divisible only by 1 and itself.

What are the factors of 54497?

1, 54497.

What is 54497 in binary?

1101010011100001 (hexadecimal D4E1, octal 152341).

What is the square root of 54497?

About 233.4459.

Is 54497 divisible by 3?

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

What is special about the number 54497?

54497 is a twin prime (54497 and 54499 are both prime); the 5544th prime number.

All about 54497

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