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The number 60462

60462 is a composite number with 12 divisors. Its prime factorisation is 2 × 323^{2} × 3359. Divisors (12): 1, 2, 3, 6, 9, 18, 3359, 6718, 10077, 20154, 30231, 60462.

Number

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How to work it out

  1. 1

    What is special about 60462: a Harshad number: divisible by its digit sum 18.

  2. 2

    60462 is composite. Its prime factorisation is

    60462=2×32×335960462 = 2 \times 3^{2} \times 3359
  3. 3

    The divisors add up to 131040; without 60462 itself that is 70578, so 60462 is abundant (70578 is more than 60462). Euler's totient φ(60462) = 20148 numbers up to 60462 share no factor with it.

  4. 4

    The digits of 60462 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 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60462 = 2 \times 3^{2} \times 3359 \]

60462 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors131040
Euler totient φ(n)20148
Square3655653444
Cube221028118531128
Square root245.890219 (= 3√6718)
Digit sum / digital root18 / 9
Collatz steps to 191
Scientific notation6.0462 × 10410^{4}

60462 in other forms

FormValue
In wordssixty thousand four hundred and sixty-two
Binary (base 2)1110110000101110
Octal (base 8)166056
Hexadecimal (base 16)EC2E
Base 310001221100
As time60462 seconds = 16 h 47 min 42 s

Is 60462 divisible by 2 to 12?

DivisorAnswerRule
2Yes (60462 ÷ 2 = 30231)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (60462 ÷ 3 = 20154)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)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.
6Yes (60462 ÷ 6 = 10077)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (60462 ÷ 9 = 6718)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60462 a prime number?

No. 60462 = 2 × 323^{2} × 3359, so it is divisible by 2.

What are the factors of 60462?

1, 2, 3, 6, 9, 18, 3359, 6718, 10077, 20154, 30231, 60462.

What is 60462 in binary?

1110110000101110 (hexadecimal EC2E, octal 166056).

What is the square root of 60462?

About 245.8902, exactly 3√6718.

Is 60462 divisible by 3?

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

What is special about the number 60462?

60462 is a Harshad number: divisible by its digit sum 18.

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