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The number 958

958 is a composite number with 4 divisors. Its prime factorisation is 2 × 479. Divisors (4): 1, 2, 479, 958.

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How to work it out

  1. 1

    What is special about 958: a semiprime: 2 × 479, the product of two primes.

  2. 2

    958 is composite. Its prime factorisation is

    958=2×479958 = 2 \times 479
  3. 3

    The divisors add up to 1440; without 958 itself that is 482, so 958 is deficient (482 is less than 958). Euler's totient φ(958) = 478 numbers up to 958 share no factor with it.

  4. 4

    The digits of 958 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 54 steps to reach 1.

LaTeX source of the formulas on this page
\[ 958 = 2 \times 479 \]

958 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors1440
Euler totient φ(n)478
Square917764
Cube879217912
Square root30.951575
Digit sum / digital root22 / 4
Collatz steps to 154
Scientific notation9.58 × 10210^{2}

958 in other forms

FormValue
In wordsnine hundred and fifty-eight
Roman numeralsCMLVIII
Binary (base 2)1110111110
Octal (base 8)1676
Hexadecimal (base 16)3BE
Base 31022111
As time958 seconds = 15 min 58 s

Is 958 divisible by 2 to 12?

DivisorAnswerRule
2Yes (958 ÷ 2 = 479)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 6)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 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 958 a prime number?

No. 958 = 2 × 479, so it is divisible by 2.

What are the factors of 958?

1, 2, 479, 958.

What is 958 in binary?

1110111110 (hexadecimal 3BE, octal 1676).

What is the square root of 958?

About 30.9516.

What is 958 in Roman numerals?

CMLVIII.

Is 958 divisible by 3?

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

What is special about the number 958?

958 is a semiprime: 2 × 479, the product of two primes.

All about 958

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