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The number 61252

61252 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 15313. Divisors (6): 1, 2, 4, 15313, 30626, 61252.

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How to work it out

  1. 1

    What is special about 61252: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    61252 is composite. Its prime factorisation is

    61252=22×1531361252 = 2^{2} \times 15313
  3. 3

    The divisors add up to 107198; without 61252 itself that is 45946, so 61252 is deficient (45946 is less than 61252). Euler's totient φ(61252) = 30624 numbers up to 61252 share no factor with it.

  4. 4

    The digits of 61252 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 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61252 = 2^{2} \times 15313 \]

61252 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors107198
Euler totient φ(n)30624
Square3751807504
Cube229805713235008
Square root247.491414 (= 2√15313)
Digit sum / digital root16 / 7
Collatz steps to 186
Scientific notation6.1252 × 10410^{4}

61252 in other forms

FormValue
In wordssixty-one thousand two hundred and fifty-two
Binary (base 2)1110111101000100
Octal (base 8)167504
Hexadecimal (base 16)EF44
Base 310010000121
As time61252 seconds = 17 h 0 min 52 s

Is 61252 divisible by 2 to 12?

DivisorAnswerRule
2Yes (61252 ÷ 2 = 30626)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 (61252 ÷ 4 = 15313)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 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 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 4)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 61252 a prime number?

No. 61252 = 222^{2} × 15313, so it is divisible by 2.

What are the factors of 61252?

1, 2, 4, 15313, 30626, 61252.

What is 61252 in binary?

1110111101000100 (hexadecimal EF44, octal 167504).

What is the square root of 61252?

About 247.4914, exactly 2√15313.

Is 61252 divisible by 3?

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

What is special about the number 61252?

61252 is a happy number: repeatedly adding the squares of its digits reaches 1.

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