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The number 61597

61597 is a composite number with 4 divisors. Its prime factorisation is 31 × 1987. Divisors (4): 1, 31, 1987, 61597.

Number

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How to work it out

  1. 1

    What is special about 61597: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 31 × 1987, the product of two primes.

  2. 2

    61597 is composite. Its prime factorisation is

    61597=31×198761597 = 31 \times 1987
  3. 3

    The divisors add up to 63616; without 61597 itself that is 2019, so 61597 is deficient (2019 is less than 61597). Euler's totient φ(61597) = 59580 numbers up to 61597 share no factor with it.

  4. 4

    The digits of 61597 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61597 = 31 \times 1987 \]

61597 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors63616
Euler totient φ(n)59580
Square3794190409
Cube233710746623173
Square root248.187429
Digit sum / digital root28 / 1
Collatz steps to 1148
Scientific notation6.1597 × 10410^{4}

61597 in other forms

FormValue
In wordssixty-one thousand five hundred and ninety-seven
Binary (base 2)1111000010011101
Octal (base 8)170235
Hexadecimal (base 16)F09D
Base 310010111101
As time61597 seconds = 17 h 6 min 37 s

Is 61597 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).
3No (remainder 1)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61597 a prime number?

No. 61597 = 31 × 1987, so it is divisible by 31.

What are the factors of 61597?

1, 31, 1987, 61597.

What is 61597 in binary?

1111000010011101 (hexadecimal F09D, octal 170235).

What is the square root of 61597?

About 248.1874.

Is 61597 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 61597?

61597 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 31 × 1987, the product of two primes.

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