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The number 60917

60917 is a twin prime (60917 and 60919 are both prime) and the 6139th prime number. Its only divisors are 1 and 60917.

Number

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How to work it out

  1. 1

    What is special about 60917: a twin prime (60917 and 60919 are both prime); the 6139th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    60917 is prime, so its only factors are 1 and 60917. It is the 6139th prime; the next prime is 60919 and the one before is 60913.

  3. 3

    The divisors add up to 60918; without 60917 itself that is 1, so 60917 is deficient (1 is less than 60917). Euler's totient φ(60917) = 60916 numbers up to 60917 share no factor with it.

  4. 4

    The digits of 60917 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.

60917 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors60918
Euler totient φ(n)60916
Square3710880889
Cube226055731115213
Square root246.813695
Digit sum / digital root23 / 5
Collatz steps to 1135
Scientific notation6.0917 × 10410^{4}

60917 in other forms

FormValue
In wordssixty thousand nine hundred and seventeen
Binary (base 2)1110110111110101
Octal (base 8)166765
Hexadecimal (base 16)EDF5
Base 310002120012
As time60917 seconds = 16 h 55 min 17 s

Is 60917 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 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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 10)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 60917 a prime number?

Yes. 60917 is divisible only by 1 and itself.

What are the factors of 60917?

1, 60917.

What is 60917 in binary?

1110110111110101 (hexadecimal EDF5, octal 166765).

What is the square root of 60917?

About 246.8137.

Is 60917 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 60917?

60917 is a twin prime (60917 and 60919 are both prime); the 6139th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.

All about 60917

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