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The number 61612

61612 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 73 × 211. Divisors (12): 1, 2, 4, 73, 146, 211, 292, 422, 844, 15403, 30806, 61612.

Number

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How to work it out

  1. 1

    61612 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

    61612 is composite. Its prime factorisation is

    61612=22×73×21161612 = 2^{2} \times 73 \times 211
  3. 3

    The divisors add up to 109816; without 61612 itself that is 48204, so 61612 is deficient (48204 is less than 61612). Euler's totient φ(61612) = 30240 numbers up to 61612 share no factor with it.

  4. 4

    The digits of 61612 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61612 = 2^{2} \times 73 \times 211 \]

61612 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors109816
Euler totient φ(n)30240
Square3796038544
Cube233881526772928
Square root248.217646 (= 2√15403)
Digit sum / digital root16 / 7
Collatz steps to 1148
Scientific notation6.1612 × 10410^{4}

61612 in other forms

FormValue
In wordssixty-one thousand six hundred and twelve
Binary (base 2)1111000010101100
Octal (base 8)170254
Hexadecimal (base 16)F0AC
Base 310010111221
As time61612 seconds = 17 h 6 min 52 s

Is 61612 divisible by 2 to 12?

DivisorAnswerRule
2Yes (61612 ÷ 2 = 30806)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 (61612 ÷ 4 = 15403)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.
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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 1)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 61612 a prime number?

No. 61612 = 222^{2} × 73 × 211, so it is divisible by 2.

What are the factors of 61612?

1, 2, 4, 73, 146, 211, 292, 422, 844, 15403, 30806, 61612.

What is 61612 in binary?

1111000010101100 (hexadecimal F0AC, octal 170254).

What is the square root of 61612?

About 248.2176, exactly 2√15403.

Is 61612 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 61612?

It is a composite number with 12 divisors.

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