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The number 61012

61012 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 7 × 2179. Divisors (12): 1, 2, 4, 7, 14, 28, 2179, 4358, 8716, 15253, 30506, 61012.

Number

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How to work it out

  1. 1

    61012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    61012 is composite. Its prime factorisation is

    61012=22×7×217961012 = 2^{2} \times 7 \times 2179
  3. 3

    The divisors add up to 122080; without 61012 itself that is 61068, so 61012 is abundant (61068 is more than 61012). Euler's totient φ(61012) = 26136 numbers up to 61012 share no factor with it.

  4. 4

    The digits of 61012 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61012 = 2^{2} \times 7 \times 2179 \]

61012 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors122080
Euler totient φ(n)26136
Square3722464144
Cube227114982353728
Square root247.006073 (= 2√15253)
Digit sum / digital root10 / 1
Collatz steps to 134
Scientific notation6.1012 × 10410^{4}

61012 in other forms

FormValue
In wordssixty-one thousand and twelve
Binary (base 2)1110111001010100
Octal (base 8)167124
Hexadecimal (base 16)EE54
Base 310002200201
As time61012 seconds = 16 h 56 min 52 s

Is 61012 divisible by 2 to 12?

DivisorAnswerRule
2Yes (61012 ÷ 2 = 30506)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (61012 ÷ 4 = 15253)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (61012 ÷ 7 = 8716)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61012 a prime number?

No. 61012 = 222^{2} × 7 × 2179, so it is divisible by 2.

What are the factors of 61012?

1, 2, 4, 7, 14, 28, 2179, 4358, 8716, 15253, 30506, 61012.

What is 61012 in binary?

1110111001010100 (hexadecimal EE54, octal 167124).

What is the square root of 61012?

About 247.0061, exactly 2√15253.

Is 61012 divisible by 3?

No. Its digits add up to 10, which is not a multiple of 3.

What is special about the number 61012?

It is a composite number with 12 divisors.

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