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The number 9551

9551 is the 1183rd prime number. Its only divisors are 1 and 9551.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 9551: the 1183rd prime number.

  2. 2

    9551 is prime, so its only factors are 1 and 9551. It is the 1183rd prime; the next prime is 9587 and the one before is 9547.

  3. 3

    The divisors add up to 9552; without 9551 itself that is 1, so 9551 is deficient (1 is less than 9551). Euler's totient φ(9551) = 9550 numbers up to 9551 share no factor with it.

  4. 4

    The digits of 9551 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.

9551 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors9552
Euler totient φ(n)9550
Square91221601
Cube871257511151
Square root97.729218
Digit sum / digital root20 / 2
Collatz steps to 160
Scientific notation9.551 × 10310^{3}

9551 in other forms

FormValue
In wordsnine thousand five hundred and fifty-one
Binary (base 2)10010101001111
Octal (base 8)22517
Hexadecimal (base 16)254F
Base 3111002202
As time9551 seconds = 2 h 39 min 11 s

Is 9551 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 2)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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.
9No (remainder 2)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 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 9551 a prime number?

Yes. 9551 is divisible only by 1 and itself.

What are the factors of 9551?

1, 9551.

What is 9551 in binary?

10010101001111 (hexadecimal 254F, octal 22517).

What is the square root of 9551?

About 97.7292.

Is 9551 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 9551?

9551 is the 1183rd prime number.

All about 9551

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    9551: is it prime? Factors, square root, binary, Roman numeral | WordGPT