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The number 59497

59497 is the 6016th prime number. Its only divisors are 1 and 59497.

Number

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How to work it out

  1. 1

    What is special about 59497: the 6016th prime number.

  2. 2

    59497 is prime, so its only factors are 1 and 59497. It is the 6016th prime; the next prime is 59509 and the one before is 59473.

  3. 3

    The divisors add up to 59498; without 59497 itself that is 1, so 59497 is deficient (1 is less than 59497). Euler's totient φ(59497) = 59496 numbers up to 59497 share no factor with it.

  4. 4

    The digits of 59497 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.

59497 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors59498
Euler totient φ(n)59496
Square3539893009
Cube210613014356473
Square root243.920069
Digit sum / digital root34 / 7
Collatz steps to 1135
Scientific notation5.9497 × 10410^{4}

59497 in other forms

FormValue
In wordsfifty-nine thousand four hundred and ninety-seven
Binary (base 2)1110100001101001
Octal (base 8)164151
Hexadecimal (base 16)E869
Base 310000121121
As time59497 seconds = 16 h 31 min 37 s

Is 59497 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 2)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 4)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 7)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 9)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 59497 a prime number?

Yes. 59497 is divisible only by 1 and itself.

What are the factors of 59497?

1, 59497.

What is 59497 in binary?

1110100001101001 (hexadecimal E869, octal 164151).

What is the square root of 59497?

About 243.9201.

Is 59497 divisible by 3?

No. Its digits add up to 34, which is not a multiple of 3.

What is special about the number 59497?

59497 is the 6016th prime number.

All about 59497

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    59497: is it prime? Factors, square root, binary, Roman numeral | WordGPT