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The number 61161

61161 is a composite number with 16 divisors. Its prime factorisation is 3 × 19 × 29 × 37. Divisors (16): 1, 3, 19, 29, 37, 57, 87, 111, 551, 703, 1073, 1653, 2109, 3219, 20387, 61161.

Number

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How to work it out

  1. 1

    61161 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

    61161 is composite. Its prime factorisation is

    61161=3×19×29×3761161 = 3 \times 19 \times 29 \times 37
  3. 3

    The divisors add up to 91200; without 61161 itself that is 30039, so 61161 is deficient (30039 is less than 61161). Euler's totient φ(61161) = 36288 numbers up to 61161 share no factor with it.

  4. 4

    The digits of 61161 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 210 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61161 = 3 \times 19 \times 29 \times 37 \]

61161 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors91200
Euler totient φ(n)36288
Square3740667921
Cube228782990716281
Square root247.307501
Digit sum / digital root15 / 6
Collatz steps to 1210
Scientific notation6.1161 × 10410^{4}

61161 in other forms

FormValue
In wordssixty-one thousand one hundred and sixty-one
Binary (base 2)1110111011101001
Octal (base 8)167351
Hexadecimal (base 16)EEE9
Base 310002220020
As time61161 seconds = 16 h 59 min 21 s

Is 61161 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 (61161 ÷ 3 = 20387)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61161 a prime number?

No. 61161 = 3 × 19 × 29 × 37, so it is divisible by 3.

What are the factors of 61161?

1, 3, 19, 29, 37, 57, 87, 111, 551, 703, 1073, 1653, 2109, 3219, 20387, 61161.

What is 61161 in binary?

1110111011101001 (hexadecimal EEE9, octal 167351).

What is the square root of 61161?

About 247.3075.

Is 61161 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 61161?

It is a composite number with 16 divisors.

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    61161: is it prime? Factors, square root, binary, Roman numeral | WordGPT