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The number 15397

15397 is a composite number with 4 divisors. Its prime factorisation is 89 × 173. Divisors (4): 1, 89, 173, 15397.

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How to work it out

  1. 1

    What is special about 15397: a semiprime: 89 × 173, the product of two primes.

  2. 2

    15397 is composite. Its prime factorisation is

    15397=89×17315397 = 89 \times 173
  3. 3

    The divisors add up to 15660; without 15397 itself that is 263, so 15397 is deficient (263 is less than 15397). Euler's totient φ(15397) = 15136 numbers up to 15397 share no factor with it.

  4. 4

    The digits of 15397 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.

LaTeX source of the formulas on this page
\[ 15397 = 89 \times 173 \]

15397 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors15660
Euler totient φ(n)15136
Square237067609
Cube3650129975773
Square root124.084649
Digit sum / digital root25 / 7
Collatz steps to 1133
Scientific notation1.5397 × 10410^{4}

15397 in other forms

FormValue
In wordsfifteen thousand three hundred and ninety-seven
Binary (base 2)11110000100101
Octal (base 8)36045
Hexadecimal (base 16)3C25
Base 3210010021
As time15397 seconds = 4 h 16 min 37 s

Is 15397 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 7)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 15397 a prime number?

No. 15397 = 89 × 173, so it is divisible by 89.

What are the factors of 15397?

1, 89, 173, 15397.

What is 15397 in binary?

11110000100101 (hexadecimal 3C25, octal 36045).

What is the square root of 15397?

About 124.0846.

Is 15397 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 15397?

15397 is a semiprime: 89 × 173, the product of two primes.

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    15397: is it prime? Factors, square root, binary, Roman numeral | WordGPT