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The number 949

949 is a palindrome: it reads 949 backwards too. Its prime factorisation is 13 × 73. Divisors (4): 1, 13, 73, 949.

Number

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How to work it out

  1. 1

    What is special about 949: a palindrome: it reads 949 backwards too; a semiprime: 13 × 73, the product of two primes.

  2. 2

    949 is composite. Its prime factorisation is

    949=13×73949 = 13 \times 73
  3. 3

    The divisors add up to 1036; without 949 itself that is 87, so 949 is deficient (87 is less than 949). Euler's totient φ(949) = 864 numbers up to 949 share no factor with it.

  4. 4

    The digits of 949 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.

LaTeX source of the formulas on this page
\[ 949 = 13 \times 73 \]

949 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors1036
Euler totient φ(n)864
Square900601
Cube854670349
Square root30.805844
Digit sum / digital root22 / 4
Collatz steps to 136
Scientific notation9.49 × 10210^{2}

949 in other forms

FormValue
In wordsnine hundred and forty-nine
Roman numeralsCMXLIX
Binary (base 2)1110110101
Octal (base 8)1665
Hexadecimal (base 16)3B5
Base 31022011
As time949 seconds = 15 min 49 s

Is 949 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 4)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 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 949 a prime number?

No. 949 = 13 × 73, so it is divisible by 13.

What are the factors of 949?

1, 13, 73, 949.

What is 949 in binary?

1110110101 (hexadecimal 3B5, octal 1665).

What is the square root of 949?

About 30.8058.

What is 949 in Roman numerals?

CMXLIX.

Is 949 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 949?

949 is a palindrome: it reads 949 backwards too; a semiprime: 13 × 73, the product of two primes.

All about 949

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