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The number 62987

62987 is a twin prime (62987 and 62989 are both prime) and the 6319th prime number. Its only divisors are 1 and 62987.

Number

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How to work it out

  1. 1

    What is special about 62987: a twin prime (62987 and 62989 are both prime); the 6319th prime number.

  2. 2

    62987 is prime, so its only factors are 1 and 62987. It is the 6319th prime; the next prime is 62989 and the one before is 62983.

  3. 3

    The divisors add up to 62988; without 62987 itself that is 1, so 62987 is deficient (1 is less than 62987). Euler's totient φ(62987) = 62986 numbers up to 62987 share no factor with it.

  4. 4

    The digits of 62987 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.

62987 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors62988
Euler totient φ(n)62986
Square3967362169
Cube249892240938803
Square root250.972110
Digit sum / digital root32 / 5
Collatz steps to 1117
Scientific notation6.2987 × 10410^{4}

62987 in other forms

FormValue
In wordssixty-two thousand nine hundred and eighty-seven
Binary (base 2)1111011000001011
Octal (base 8)173013
Hexadecimal (base 16)F60B
Base 310012101212
As time62987 seconds = 17 h 29 min 47 s

Is 62987 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 3)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 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 3)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 62987 a prime number?

Yes. 62987 is divisible only by 1 and itself.

What are the factors of 62987?

1, 62987.

What is 62987 in binary?

1111011000001011 (hexadecimal F60B, octal 173013).

What is the square root of 62987?

About 250.9721.

Is 62987 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 62987?

62987 is a twin prime (62987 and 62989 are both prime); the 6319th prime number.

All about 62987

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