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The number 59463

59463 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 6607. Divisors (6): 1, 3, 9, 6607, 19821, 59463.

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How to work it out

  1. 1

    What is special about 59463: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    59463 is composite. Its prime factorisation is

    59463=32×660759463 = 3^{2} \times 6607
  3. 3

    The divisors add up to 85904; without 59463 itself that is 26441, so 59463 is deficient (26441 is less than 59463). Euler's totient φ(59463) = 39636 numbers up to 59463 share no factor with it.

  4. 4

    The digits of 59463 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.

LaTeX source of the formulas on this page
\[ 59463 = 3^{2} \times 6607 \]

59463 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors85904
Euler totient φ(n)39636
Square3535848369
Cube210252151565847
Square root243.850364 (= 3√6607)
Digit sum / digital root27 / 9
Collatz steps to 1122
Scientific notation5.9463 × 10410^{4}

59463 in other forms

FormValue
In wordsfifty-nine thousand four hundred and sixty-three
Binary (base 2)1110100001000111
Octal (base 8)164107
Hexadecimal (base 16)E847
Base 310000120100
As time59463 seconds = 16 h 31 min 3 s

Is 59463 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).
3Yes (59463 ÷ 3 = 19821)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 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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.
9Yes (59463 ÷ 9 = 6607)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 59463 a prime number?

No. 59463 = 323^{2} × 6607, so it is divisible by 3.

What are the factors of 59463?

1, 3, 9, 6607, 19821, 59463.

What is 59463 in binary?

1110100001000111 (hexadecimal E847, octal 164107).

What is the square root of 59463?

About 243.8504, exactly 3√6607.

Is 59463 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 59463?

59463 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    59463: is it prime? Factors, square root, binary, Roman numeral | WordGPT