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The number 61407

61407 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 6823. Divisors (6): 1, 3, 9, 6823, 20469, 61407.

Number

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How to work it out

  1. 1

    61407 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

    61407 is composite. Its prime factorisation is

    61407=32×682361407 = 3^{2} \times 6823
  3. 3

    The divisors add up to 88712; without 61407 itself that is 27305, so 61407 is deficient (27305 is less than 61407). Euler's totient φ(61407) = 40932 numbers up to 61407 share no factor with it.

  4. 4

    The digits of 61407 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 179 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61407 = 3^{2} \times 6823 \]

61407 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors88712
Euler totient φ(n)40932
Square3770819649
Cube231554722186143
Square root247.804358 (= 3√6823)
Digit sum / digital root18 / 9
Collatz steps to 1179
Scientific notation6.1407 × 10410^{4}

61407 in other forms

FormValue
In wordssixty-one thousand four hundred and seven
Binary (base 2)1110111111011111
Octal (base 8)167737
Hexadecimal (base 16)EFDF
Base 310010020100
As time61407 seconds = 17 h 3 min 27 s

Is 61407 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 (61407 ÷ 3 = 20469)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 2)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 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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (61407 ÷ 9 = 6823)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)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 61407 a prime number?

No. 61407 = 323^{2} × 6823, so it is divisible by 3.

What are the factors of 61407?

1, 3, 9, 6823, 20469, 61407.

What is 61407 in binary?

1110111111011111 (hexadecimal EFDF, octal 167737).

What is the square root of 61407?

About 247.8044, exactly 3√6823.

Is 61407 divisible by 3?

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

What is special about the number 61407?

It is a composite number with 6 divisors.

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    61407: is it prime? Factors, square root, binary, Roman numeral | WordGPT