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The number 61448

61448 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 7681. Divisors (8): 1, 2, 4, 8, 7681, 15362, 30724, 61448.

Number

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How to work it out

  1. 1

    What is special about 61448: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    61448 is composite. Its prime factorisation is

    61448=23×768161448 = 2^{3} \times 7681
  3. 3

    The divisors add up to 115230; without 61448 itself that is 53782, so 61448 is deficient (53782 is less than 61448). Euler's totient φ(61448) = 30720 numbers up to 61448 share no factor with it.

  4. 4

    The digits of 61448 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61448 = 2^{3} \times 7681 \]

61448 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors115230
Euler totient φ(n)30720
Square3775856704
Cube232018842747392
Square root247.887071 (= 2√15362)
Digit sum / digital root23 / 5
Collatz steps to 1179
Scientific notation6.1448 × 10410^{4}

61448 in other forms

FormValue
In wordssixty-one thousand four hundred and forty-eight
Binary (base 2)1111000000001000
Octal (base 8)170010
Hexadecimal (base 16)F008
Base 310010021212
As time61448 seconds = 17 h 4 min 8 s

Is 61448 divisible by 2 to 12?

DivisorAnswerRule
2Yes (61448 ÷ 2 = 30724)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (61448 ÷ 4 = 15362)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)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.
8Yes (61448 ÷ 8 = 7681)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61448 a prime number?

No. 61448 = 232^{3} × 7681, so it is divisible by 2.

What are the factors of 61448?

1, 2, 4, 8, 7681, 15362, 30724, 61448.

What is 61448 in binary?

1111000000001000 (hexadecimal F008, octal 170010).

What is the square root of 61448?

About 247.8871, exactly 2√15362.

Is 61448 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 61448?

61448 is a happy number: repeatedly adding the squares of its digits reaches 1.

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