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The number 60901

60901 is a twin prime (60899 and 60901 are both prime) and the 6137th prime number. Its only divisors are 1 and 60901.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 60901: a twin prime (60899 and 60901 are both prime); the 6137th prime number.

  2. 2

    60901 is prime, so its only factors are 1 and 60901. It is the 6137th prime; the next prime is 60913 and the one before is 60899.

  3. 3

    The divisors add up to 60902; without 60901 itself that is 1, so 60901 is deficient (1 is less than 60901). Euler's totient φ(60901) = 60900 numbers up to 60901 share no factor with it.

  4. 4

    The digits of 60901 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

60901 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors60902
Euler totient φ(n)60900
Square3708931801
Cube225877655612701
Square root246.781280
Digit sum / digital root16 / 7
Collatz steps to 186
Scientific notation6.0901 × 10410^{4}

60901 in other forms

FormValue
In wordssixty thousand nine hundred and one
Binary (base 2)1110110111100101
Octal (base 8)166745
Hexadecimal (base 16)EDE5
Base 310002112121
As time60901 seconds = 16 h 55 min 1 s

Is 60901 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 1)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 7)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 5)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 60901 a prime number?

Yes. 60901 is divisible only by 1 and itself.

What are the factors of 60901?

1, 60901.

What is 60901 in binary?

1110110111100101 (hexadecimal EDE5, octal 166745).

What is the square root of 60901?

About 246.7813.

Is 60901 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 60901?

60901 is a twin prime (60899 and 60901 are both prime); the 6137th prime number.

All about 60901

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    60901: is it prime? Factors, square root, binary, Roman numeral | WordGPT