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The number 59471

59471 is a twin prime (59471 and 59473 are both prime) and the 6014th prime number. Its only divisors are 1 and 59471.

Number

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How to work it out

  1. 1

    What is special about 59471: a twin prime (59471 and 59473 are both prime); the 6014th prime number.

  2. 2

    59471 is prime, so its only factors are 1 and 59471. It is the 6014th prime; the next prime is 59473 and the one before is 59467.

  3. 3

    The divisors add up to 59472; without 59471 itself that is 1, so 59471 is deficient (1 is less than 59471). Euler's totient φ(59471) = 59470 numbers up to 59471 share no factor with it.

  4. 4

    The digits of 59471 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.

59471 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors59472
Euler totient φ(n)59470
Square3536799841
Cube210337023344111
Square root243.866767
Digit sum / digital root26 / 8
Collatz steps to 1166
Scientific notation5.9471 × 10410^{4}

59471 in other forms

FormValue
In wordsfifty-nine thousand four hundred and seventy-one
Binary (base 2)1110100001001111
Octal (base 8)164117
Hexadecimal (base 16)E84F
Base 310000120122
As time59471 seconds = 16 h 31 min 11 s

Is 59471 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 1)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 6)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 59471 a prime number?

Yes. 59471 is divisible only by 1 and itself.

What are the factors of 59471?

1, 59471.

What is 59471 in binary?

1110100001001111 (hexadecimal E84F, octal 164117).

What is the square root of 59471?

About 243.8668.

Is 59471 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 59471?

59471 is a twin prime (59471 and 59473 are both prime); the 6014th prime number.

All about 59471

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    59471: is it prime? Factors, square root, binary, Roman numeral | WordGPT