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The number 97551

97551 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 3613. Divisors (8): 1, 3, 9, 27, 3613, 10839, 32517, 97551.

Number

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How to work it out

  1. 1

    What is special about 97551: a Harshad number: divisible by its digit sum 27.

  2. 2

    97551 is composite. Its prime factorisation is

    97551=33×361397551 = 3^{3} \times 3613
  3. 3

    The divisors add up to 144560; without 97551 itself that is 47009, so 97551 is deficient (47009 is less than 97551). Euler's totient φ(97551) = 65016 numbers up to 97551 share no factor with it.

  4. 4

    The digits of 97551 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.

LaTeX source of the formulas on this page
\[ 97551 = 3^{3} \times 3613 \]

97551 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors144560
Euler totient φ(n)65016
Square9516197601
Cube928314592175151
Square root312.331555 (= 3√10839)
Digit sum / digital root27 / 9
Collatz steps to 197
Scientific notation9.7551 × 10410^{4}

97551 in other forms

FormValue
In wordsninety-seven thousand five hundred and fifty-one
Binary (base 2)10111110100001111
Octal (base 8)276417
Hexadecimal (base 16)17D0F
Base 311221211000
As time97551 seconds = 27 h 5 min 51 s

Is 97551 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 (97551 ÷ 3 = 32517)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 1)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 6)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 (97551 ÷ 9 = 10839)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)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 97551 a prime number?

No. 97551 = 333^{3} × 3613, so it is divisible by 3.

What are the factors of 97551?

1, 3, 9, 27, 3613, 10839, 32517, 97551.

What is 97551 in binary?

10111110100001111 (hexadecimal 17D0F, octal 276417).

What is the square root of 97551?

About 312.3316, exactly 3√10839.

Is 97551 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 97551?

97551 is a Harshad number: divisible by its digit sum 27.

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    97551: is it prime? Factors, square root, binary, Roman numeral | WordGPT