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The number 62631

62631 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 6959. Divisors (6): 1, 3, 9, 6959, 20877, 62631.

Number

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How to work it out

  1. 1

    What is special about 62631: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    62631 is composite. Its prime factorisation is

    62631=32×695962631 = 3^{2} \times 6959
  3. 3

    The divisors add up to 90480; without 62631 itself that is 27849, so 62631 is deficient (27849 is less than 62631). Euler's totient φ(62631) = 41748 numbers up to 62631 share no factor with it.

  4. 4

    The digits of 62631 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.

LaTeX source of the formulas on this page
\[ 62631 = 3^{2} \times 6959 \]

62631 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors90480
Euler totient φ(n)41748
Square3922642161
Cube245679001185591
Square root250.261863 (= 3√6959)
Digit sum / digital root18 / 9
Collatz steps to 1135
Scientific notation6.2631 × 10410^{4}

62631 in other forms

FormValue
In wordssixty-two thousand six hundred and thirty-one
Binary (base 2)1111010010100111
Octal (base 8)172247
Hexadecimal (base 16)F4A7
Base 310011220200
As time62631 seconds = 17 h 23 min 51 s

Is 62631 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 (62631 ÷ 3 = 20877)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 (62631 ÷ 9 = 6959)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 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 62631 a prime number?

No. 62631 = 323^{2} × 6959, so it is divisible by 3.

What are the factors of 62631?

1, 3, 9, 6959, 20877, 62631.

What is 62631 in binary?

1111010010100111 (hexadecimal F4A7, octal 172247).

What is the square root of 62631?

About 250.2619, exactly 3√6959.

Is 62631 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 62631?

62631 is a happy number: repeatedly adding the squares of its digits reaches 1.

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